What is the Least Common Multiple of 91608 and 91628?

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 91608 and 91628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91608 and 91628, than apply into the LCM equation.

GCF(91608,91628) = 4
LCM(91608,91628) = ( 91608 × 91628) / 4
LCM(91608,91628) = 8393857824 / 4
LCM(91608,91628) = 2098464456

Least Common Multiple (LCM) of 91608 and 91628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91608 and 91628. First we will calculate the prime factors of 91608 and 91628.

Prime Factorization of 91608

Prime Factorization of 91628

Now multiplying the highest exponent prime factors to calculate the LCM of 91608 and 91628.

LCM(91608,91628) = 2³ × 3¹ × 11¹ × 347¹ × 22907¹
LCM(91608,91628) = 2098464456