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What is the Least Common Multiple of 91628 and 91635?

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 91628 and 91635 is 8396331780.

LCM(91628,91635) = 8396331780

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Least Common Multiple of 91628 and 91635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91628 and 91635, than apply into the LCM equation.

GCF(91628,91635) = 1
LCM(91628,91635) = ( 91628 × 91635) / 1
LCM(91628,91635) = 8396331780 / 1
LCM(91628,91635) = 8396331780

Least Common Multiple (LCM) of 91628 and 91635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91628 and 91635. First we will calculate the prime factors of 91628 and 91635.

Prime Factorization of 91628

Prime factors of 91628 are 2, 22907. Prime factorization of 91628 in exponential form is:

91628 = 22 × 229071

Prime Factorization of 91635

Prime factors of 91635 are 3, 5, 41, 149. Prime factorization of 91635 in exponential form is:

91635 = 31 × 51 × 411 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 91628 and 91635.

LCM(91628,91635) = 22 × 229071 × 31 × 51 × 411 × 1491
LCM(91628,91635) = 8396331780