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What is the Least Common Multiple of 95621 and 95634?

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 95621 and 95634 is 9144618714.

LCM(95621,95634) = 9144618714

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Least Common Multiple of 95621 and 95634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95621 and 95634, than apply into the LCM equation.

GCF(95621,95634) = 1
LCM(95621,95634) = ( 95621 × 95634) / 1
LCM(95621,95634) = 9144618714 / 1
LCM(95621,95634) = 9144618714

Least Common Multiple (LCM) of 95621 and 95634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95621 and 95634. First we will calculate the prime factors of 95621 and 95634.

Prime Factorization of 95621

Prime factors of 95621 are 95621. Prime factorization of 95621 in exponential form is:

95621 = 956211

Prime Factorization of 95634

Prime factors of 95634 are 2, 3, 7, 11, 23. Prime factorization of 95634 in exponential form is:

95634 = 21 × 33 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 95621 and 95634.

LCM(95621,95634) = 956211 × 21 × 33 × 71 × 111 × 231
LCM(95621,95634) = 9144618714