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What is the Least Common Multiple of 64602 and 64617?

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 64602 and 64617 is 1391462478.

LCM(64602,64617) = 1391462478

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Least Common Multiple of 64602 and 64617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64602 and 64617, than apply into the LCM equation.

GCF(64602,64617) = 3
LCM(64602,64617) = ( 64602 × 64617) / 3
LCM(64602,64617) = 4174387434 / 3
LCM(64602,64617) = 1391462478

Least Common Multiple (LCM) of 64602 and 64617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64602 and 64617. First we will calculate the prime factors of 64602 and 64617.

Prime Factorization of 64602

Prime factors of 64602 are 2, 3, 37, 97. Prime factorization of 64602 in exponential form is:

64602 = 21 × 32 × 371 × 971

Prime Factorization of 64617

Prime factors of 64617 are 3, 7, 17, 181. Prime factorization of 64617 in exponential form is:

64617 = 31 × 71 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 64602 and 64617.

LCM(64602,64617) = 21 × 32 × 371 × 971 × 71 × 171 × 1811
LCM(64602,64617) = 1391462478