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What is the Least Common Multiple of 95624 and 95633?

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 95624 and 95633 is 9144809992.

LCM(95624,95633) = 9144809992

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Least Common Multiple of 95624 and 95633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95624 and 95633, than apply into the LCM equation.

GCF(95624,95633) = 1
LCM(95624,95633) = ( 95624 × 95633) / 1
LCM(95624,95633) = 9144809992 / 1
LCM(95624,95633) = 9144809992

Least Common Multiple (LCM) of 95624 and 95633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95624 and 95633. First we will calculate the prime factors of 95624 and 95633.

Prime Factorization of 95624

Prime factors of 95624 are 2, 11953. Prime factorization of 95624 in exponential form is:

95624 = 23 × 119531

Prime Factorization of 95633

Prime factors of 95633 are 95633. Prime factorization of 95633 in exponential form is:

95633 = 956331

Now multiplying the highest exponent prime factors to calculate the LCM of 95624 and 95633.

LCM(95624,95633) = 23 × 119531 × 956331
LCM(95624,95633) = 9144809992