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What is the Least Common Multiple of 91636 and 91643?

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 91636 and 91643 is 8397797948.

LCM(91636,91643) = 8397797948

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Least Common Multiple of 91636 and 91643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91636 and 91643, than apply into the LCM equation.

GCF(91636,91643) = 1
LCM(91636,91643) = ( 91636 × 91643) / 1
LCM(91636,91643) = 8397797948 / 1
LCM(91636,91643) = 8397797948

Least Common Multiple (LCM) of 91636 and 91643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91636 and 91643. First we will calculate the prime factors of 91636 and 91643.

Prime Factorization of 91636

Prime factors of 91636 are 2, 31, 739. Prime factorization of 91636 in exponential form is:

91636 = 22 × 311 × 7391

Prime Factorization of 91643

Prime factors of 91643 are 113, 811. Prime factorization of 91643 in exponential form is:

91643 = 1131 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 91636 and 91643.

LCM(91636,91643) = 22 × 311 × 7391 × 1131 × 8111
LCM(91636,91643) = 8397797948