LCM for 20 and 445

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What's the Least Common Multiple (LCM) of 20 and 445?

Answer

LCM of 20 and 445 is
1,780

First common multiples: 1,780; 3,560; 5,340; …

1,780 is divisible by both: 1,780 ÷ 20 = 89; 1,780 ÷ 445 = 4 — and 89 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 89 and of y/445 by 4.

20 = 22 × 5

445 = 5 × 89

Prime20445Highest power
222—22
5555
89—8989

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

LCM = 22 × 5 × 89 = 1,780

See Also

FAQ

What's the Least Common Multiple (LCM) of 20 and 445?

LCM of 20 and 445 is 1,780

How to find the LCM of 20 and 445 using prime factorization?

To find the LCM of 20 and 445, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,780.

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 445: LCM = 1,780, GCF = 5.