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What is the Least Common Multiple of 91638 and 91652?

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 91638 and 91652 is 4199402988.

LCM(91638,91652) = 4199402988

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Least Common Multiple of 91638 and 91652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91638 and 91652, than apply into the LCM equation.

GCF(91638,91652) = 2
LCM(91638,91652) = ( 91638 × 91652) / 2
LCM(91638,91652) = 8398805976 / 2
LCM(91638,91652) = 4199402988

Least Common Multiple (LCM) of 91638 and 91652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91638 and 91652. First we will calculate the prime factors of 91638 and 91652.

Prime Factorization of 91638

Prime factors of 91638 are 2, 3, 1697. Prime factorization of 91638 in exponential form is:

91638 = 21 × 33 × 16971

Prime Factorization of 91652

Prime factors of 91652 are 2, 11, 2083. Prime factorization of 91652 in exponential form is:

91652 = 22 × 111 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 91638 and 91652.

LCM(91638,91652) = 22 × 33 × 16971 × 111 × 20831
LCM(91638,91652) = 4199402988