LCM for 20 and 335

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What's the Least Common Multiple (LCM) of 20 and 335?

Answer

LCM of 20 and 335 is
1,340

First common multiples: 1,340; 2,680; 4,020; …

1,340 is divisible by both: 1,340 ÷ 20 = 67; 1,340 ÷ 335 = 4 — and 67 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 67 and of y/335 by 4.

20 = 22 × 5

335 = 5 × 67

Prime20335Highest power
222—22
5555
67—6767

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

LCM = 22 × 5 × 67 = 1,340

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FAQ

What's the Least Common Multiple (LCM) of 20 and 335?

LCM of 20 and 335 is 1,340

How to find the LCM of 20 and 335 using prime factorization?

To find the LCM of 20 and 335, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,340.

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 20 and 335: LCM = 1,340, GCF = 5.