What is the Least Common Multiple of 91812 and 91816?

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 of 91812 and 91816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91812 and 91816, than apply into the LCM equation.

GCF(91812,91816) = 4
LCM(91812,91816) = ( 91812 × 91816) / 4
LCM(91812,91816) = 8429810592 / 4
LCM(91812,91816) = 2107452648

Least Common Multiple (LCM) of 91812 and 91816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91812 and 91816. First we will calculate the prime factors of 91812 and 91816.

Prime Factorization of 91812

Prime Factorization of 91816

Now multiplying the highest exponent prime factors to calculate the LCM of 91812 and 91816.

LCM(91812,91816) = 2³ × 3¹ × 7¹ × 1093¹ × 23¹ × 499¹
LCM(91812,91816) = 2107452648