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What is the Least Common Multiple of 64652 and 64659?

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 64652 and 64659 is 597190524.

LCM(64652,64659) = 597190524

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Least Common Multiple of 64652 and 64659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64652 and 64659, than apply into the LCM equation.

GCF(64652,64659) = 7
LCM(64652,64659) = ( 64652 × 64659) / 7
LCM(64652,64659) = 4180333668 / 7
LCM(64652,64659) = 597190524

Least Common Multiple (LCM) of 64652 and 64659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64652 and 64659. First we will calculate the prime factors of 64652 and 64659.

Prime Factorization of 64652

Prime factors of 64652 are 2, 7, 2309. Prime factorization of 64652 in exponential form is:

64652 = 22 × 71 × 23091

Prime Factorization of 64659

Prime factors of 64659 are 3, 7, 3079. Prime factorization of 64659 in exponential form is:

64659 = 31 × 71 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 64652 and 64659.

LCM(64652,64659) = 22 × 71 × 23091 × 31 × 30791
LCM(64652,64659) = 597190524