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What is the Least Common Multiple of 64427 and 64440?

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 64427 and 64440 is 4151675880.

LCM(64427,64440) = 4151675880

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Least Common Multiple of 64427 and 64440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64427 and 64440, than apply into the LCM equation.

GCF(64427,64440) = 1
LCM(64427,64440) = ( 64427 × 64440) / 1
LCM(64427,64440) = 4151675880 / 1
LCM(64427,64440) = 4151675880

Least Common Multiple (LCM) of 64427 and 64440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64427 and 64440. First we will calculate the prime factors of 64427 and 64440.

Prime Factorization of 64427

Prime factors of 64427 are 11, 5857. Prime factorization of 64427 in exponential form is:

64427 = 111 × 58571

Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 23 × 32 × 51 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 64427 and 64440.

LCM(64427,64440) = 111 × 58571 × 23 × 32 × 51 × 1791
LCM(64427,64440) = 4151675880