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What is the Least Common Multiple of 16715 and 16720?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16715 and 16720 is 55894960.

LCM(16715,16720) = 55894960

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Least Common Multiple of 16715 and 16720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16715 and 16720, than apply into the LCM equation.

GCF(16715,16720) = 5
LCM(16715,16720) = ( 16715 × 16720) / 5
LCM(16715,16720) = 279474800 / 5
LCM(16715,16720) = 55894960

Least Common Multiple (LCM) of 16715 and 16720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16715 and 16720. First we will calculate the prime factors of 16715 and 16720.

Prime Factorization of 16715

Prime factors of 16715 are 5, 3343. Prime factorization of 16715 in exponential form is:

16715 = 51 × 33431

Prime Factorization of 16720

Prime factors of 16720 are 2, 5, 11, 19. Prime factorization of 16720 in exponential form is:

16720 = 24 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16715 and 16720.

LCM(16715,16720) = 51 × 33431 × 24 × 111 × 191
LCM(16715,16720) = 55894960