LCM for 10 and 265

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What's the Least Common Multiple (LCM) of 10 and 265?

Answer

LCM of 10 and 265 is
530

First common multiples: 530; 1,060; 1,590; …

530 is divisible by both: 530 ÷ 10 = 53, 530 ÷ 265 = 2 — and 53 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 53 and of y/265 by 2.

10 = 2 × 5

265 = 5 × 53

Prime10265Highest power
22—2
5555
53—5353

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 5 × 53 = 530

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FAQ

What's the Least Common Multiple (LCM) of 10 and 265?

LCM of 10 and 265 is 530

How to find the LCM of 10 and 265 using prime factorization?

To find the LCM of 10 and 265, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 530.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 265: LCM = 530, GCF = 5.