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What is the Least Common Multiple of 64473 and 64487?

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 64473 and 64487 is 4157670351.

LCM(64473,64487) = 4157670351

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Least Common Multiple of 64473 and 64487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64473 and 64487, than apply into the LCM equation.

GCF(64473,64487) = 1
LCM(64473,64487) = ( 64473 × 64487) / 1
LCM(64473,64487) = 4157670351 / 1
LCM(64473,64487) = 4157670351

Least Common Multiple (LCM) of 64473 and 64487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64473 and 64487. First we will calculate the prime factors of 64473 and 64487.

Prime Factorization of 64473

Prime factors of 64473 are 3, 21491. Prime factorization of 64473 in exponential form is:

64473 = 31 × 214911

Prime Factorization of 64487

Prime factors of 64487 are 59, 1093. Prime factorization of 64487 in exponential form is:

64487 = 591 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 64473 and 64487.

LCM(64473,64487) = 31 × 214911 × 591 × 10931
LCM(64473,64487) = 4157670351