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What is the Least Common Multiple of 64628 and 64639?

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 64628 and 64639 is 4177489292.

LCM(64628,64639) = 4177489292

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Least Common Multiple of 64628 and 64639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64628 and 64639, than apply into the LCM equation.

GCF(64628,64639) = 1
LCM(64628,64639) = ( 64628 × 64639) / 1
LCM(64628,64639) = 4177489292 / 1
LCM(64628,64639) = 4177489292

Least Common Multiple (LCM) of 64628 and 64639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64628 and 64639. First we will calculate the prime factors of 64628 and 64639.

Prime Factorization of 64628

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

64628 = 22 × 1071 × 1511

Prime Factorization of 64639

Prime factors of 64639 are 37, 1747. Prime factorization of 64639 in exponential form is:

64639 = 371 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 64628 and 64639.

LCM(64628,64639) = 22 × 1071 × 1511 × 371 × 17471
LCM(64628,64639) = 4177489292