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What is the Least Common Multiple of 64617 and 64628?

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 64617 and 64628 is 4176067476.

LCM(64617,64628) = 4176067476

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Least Common Multiple of 64617 and 64628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64617 and 64628, than apply into the LCM equation.

GCF(64617,64628) = 1
LCM(64617,64628) = ( 64617 × 64628) / 1
LCM(64617,64628) = 4176067476 / 1
LCM(64617,64628) = 4176067476

Least Common Multiple (LCM) of 64617 and 64628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64617 and 64628. First we will calculate the prime factors of 64617 and 64628.

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

Prime Factorization of 64628

Prime factors of 64628 are 2, 107, 151. Prime factorization of 64628 in exponential form is:

64628 = 22 × 1071 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 64617 and 64628.

LCM(64617,64628) = 31 × 71 × 171 × 1811 × 22 × 1071 × 1511
LCM(64617,64628) = 4176067476