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What is the Least Common Multiple of 64715 and 64720?

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 64715 and 64720 is 837670960.

LCM(64715,64720) = 837670960

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Least Common Multiple of 64715 and 64720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64715 and 64720, than apply into the LCM equation.

GCF(64715,64720) = 5
LCM(64715,64720) = ( 64715 × 64720) / 5
LCM(64715,64720) = 4188354800 / 5
LCM(64715,64720) = 837670960

Least Common Multiple (LCM) of 64715 and 64720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64715 and 64720. First we will calculate the prime factors of 64715 and 64720.

Prime Factorization of 64715

Prime factors of 64715 are 5, 7, 43. Prime factorization of 64715 in exponential form is:

64715 = 51 × 71 × 432

Prime Factorization of 64720

Prime factors of 64720 are 2, 5, 809. Prime factorization of 64720 in exponential form is:

64720 = 24 × 51 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 64715 and 64720.

LCM(64715,64720) = 51 × 71 × 432 × 24 × 8091
LCM(64715,64720) = 837670960