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What is the Least Common Multiple of 64616 and 64625?

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 64616 and 64625 is 4175809000.

LCM(64616,64625) = 4175809000

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Least Common Multiple of 64616 and 64625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64616 and 64625, than apply into the LCM equation.

GCF(64616,64625) = 1
LCM(64616,64625) = ( 64616 × 64625) / 1
LCM(64616,64625) = 4175809000 / 1
LCM(64616,64625) = 4175809000

Least Common Multiple (LCM) of 64616 and 64625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64616 and 64625. First we will calculate the prime factors of 64616 and 64625.

Prime Factorization of 64616

Prime factors of 64616 are 2, 41, 197. Prime factorization of 64616 in exponential form is:

64616 = 23 × 411 × 1971

Prime Factorization of 64625

Prime factors of 64625 are 5, 11, 47. Prime factorization of 64625 in exponential form is:

64625 = 53 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64616 and 64625.

LCM(64616,64625) = 23 × 411 × 1971 × 53 × 111 × 471
LCM(64616,64625) = 4175809000