LCM for 20 and 435

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What's the Least Common Multiple (LCM) of 20 and 435?

Answer

LCM of 20 and 435 is
1,740

First common multiples: 1,740; 3,480; 5,220; …

1,740 is divisible by both: 1,740 ÷ 20 = 87; 1,740 ÷ 435 = 4 — and 87 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 87 and of y/435 by 4.

20 = 22 × 5

435 = 3 × 5 × 29

Prime20435Highest power
222—22
3—33
5555
29—2929

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

LCM = 22 × 3 × 5 × 29 = 1,740

See Also

FAQ

What's the Least Common Multiple (LCM) of 20 and 435?

LCM of 20 and 435 is 1,740

How to find the LCM of 20 and 435 using prime factorization?

To find the LCM of 20 and 435, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

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 435: LCM = 1,740, GCF = 5.