What is the Least Common Multiple of 91548 and 91564?

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 91548 and 91564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91548 and 91564, than apply into the LCM equation.

GCF(91548,91564) = 4
LCM(91548,91564) = ( 91548 × 91564) / 4
LCM(91548,91564) = 8382501072 / 4
LCM(91548,91564) = 2095625268

Least Common Multiple (LCM) of 91548 and 91564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91548 and 91564. First we will calculate the prime factors of 91548 and 91564.

Prime Factorization of 91548

Prime Factorization of 91564

Now multiplying the highest exponent prime factors to calculate the LCM of 91548 and 91564.

LCM(91548,91564) = 2² × 3² × 2543¹ × 11¹ × 2081¹
LCM(91548,91564) = 2095625268