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What is the Least Common Multiple of 96452 and 96471?

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 96452 and 96471 is 9304820892.

LCM(96452,96471) = 9304820892

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Least Common Multiple of 96452 and 96471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96452 and 96471, than apply into the LCM equation.

GCF(96452,96471) = 1
LCM(96452,96471) = ( 96452 × 96471) / 1
LCM(96452,96471) = 9304820892 / 1
LCM(96452,96471) = 9304820892

Least Common Multiple (LCM) of 96452 and 96471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96452 and 96471. First we will calculate the prime factors of 96452 and 96471.

Prime Factorization of 96452

Prime factors of 96452 are 2, 24113. Prime factorization of 96452 in exponential form is:

96452 = 22 × 241131

Prime Factorization of 96471

Prime factors of 96471 are 3, 397. Prime factorization of 96471 in exponential form is:

96471 = 35 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 96452 and 96471.

LCM(96452,96471) = 22 × 241131 × 35 × 3971
LCM(96452,96471) = 9304820892