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What is the Least Common Multiple of 91656 and 91676?

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 91656 and 91676 is 2100663864.

LCM(91656,91676) = 2100663864

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Least Common Multiple of 91656 and 91676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91656 and 91676, than apply into the LCM equation.

GCF(91656,91676) = 4
LCM(91656,91676) = ( 91656 × 91676) / 4
LCM(91656,91676) = 8402655456 / 4
LCM(91656,91676) = 2100663864

Least Common Multiple (LCM) of 91656 and 91676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91656 and 91676. First we will calculate the prime factors of 91656 and 91676.

Prime Factorization of 91656

Prime factors of 91656 are 2, 3, 19, 67. Prime factorization of 91656 in exponential form is:

91656 = 23 × 32 × 191 × 671

Prime Factorization of 91676

Prime factors of 91676 are 2, 13, 41, 43. Prime factorization of 91676 in exponential form is:

91676 = 22 × 131 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 91656 and 91676.

LCM(91656,91676) = 23 × 32 × 191 × 671 × 131 × 411 × 431
LCM(91656,91676) = 2100663864