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What is the Least Common Multiple of 64645 and 64661?

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 64645 and 64661 is 4180010345.

LCM(64645,64661) = 4180010345

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Least Common Multiple of 64645 and 64661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64645 and 64661, than apply into the LCM equation.

GCF(64645,64661) = 1
LCM(64645,64661) = ( 64645 × 64661) / 1
LCM(64645,64661) = 4180010345 / 1
LCM(64645,64661) = 4180010345

Least Common Multiple (LCM) of 64645 and 64661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64645 and 64661. First we will calculate the prime factors of 64645 and 64661.

Prime Factorization of 64645

Prime factors of 64645 are 5, 7, 1847. Prime factorization of 64645 in exponential form is:

64645 = 51 × 71 × 18471

Prime Factorization of 64661

Prime factors of 64661 are 64661. Prime factorization of 64661 in exponential form is:

64661 = 646611

Now multiplying the highest exponent prime factors to calculate the LCM of 64645 and 64661.

LCM(64645,64661) = 51 × 71 × 18471 × 646611
LCM(64645,64661) = 4180010345