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What is the Least Common Multiple of 64628 and 64640?

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 64640 is 1044388480.

LCM(64628,64640) = 1044388480

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Least Common Multiple of 64628 and 64640 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 64640, than apply into the LCM equation.

GCF(64628,64640) = 4
LCM(64628,64640) = ( 64628 × 64640) / 4
LCM(64628,64640) = 4177553920 / 4
LCM(64628,64640) = 1044388480

Least Common Multiple (LCM) of 64628 and 64640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64628 and 64640. First we will calculate the prime factors of 64628 and 64640.

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 64640

Prime factors of 64640 are 2, 5, 101. Prime factorization of 64640 in exponential form is:

64640 = 27 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 64628 and 64640.

LCM(64628,64640) = 27 × 1071 × 1511 × 51 × 1011
LCM(64628,64640) = 1044388480