July 2 (Reuters) - Copper prices climbed on Tuesday, as stocks withdrawals in South Korea relieved some oversupply pressure, although manufacturing activity contracted at some companies in top consumer China.

Three-month copper on the London Metal Exchange (LME) rose 0.3% to $9,655.50 per metric ton by 0341 GMT, while the most-traded August copper contract on the Shanghai Futures Exchange (SHFE) advanced 0.5% to 78,720 yuan ($10,826.42) a ton.

At the LME Gwangyang warehouse in South Korea, 8,000 tons of fresh cancellations in LME copper warehouses signaled inventory might fall soon. Meanwhile, the discount to import copper into China also tightened, suggesting improving appetite for the metal. .

Analysts have said physical copper demand in China has been picking up and will likely improve further in July, after prices dropped some $1,500 since hitting a record high in May and stabilized around this level for the past two weeks.

Data from China showed a mixed picture. Manufacturing activity fell for a second month in June, according to an official survey. But a private survey covering smaller, export-oriented firms showed factory activity grew at the fastest pace in more than three years.

Market participants are awaiting China's July 15-18 plenum to see if there will be more stimulus measures that could boost metals demand.

LME aluminum increased 0.1% to $2,518 a ton, nickel rose 0.5% to $17,450, zinc increased 0.3% to $2,936.50, lead was nearly flat at $2,219 and tin fell 0.4% to $32,755.

SHFE aluminum edged up 0.3% to 20,355 yuan a ton, nickel jumped 0.9% to 137,450 yuan, lead climbed 1% to 19,760 yuan, while zinc eased 0.2% to 24,430 yuan and tin declined 0.2% to 273,680 yuan.

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