What is the Least Common Multiple of 91344 and 91356?

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 91344 and 91356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91344 and 91356, than apply into the LCM equation.

GCF(91344,91356) = 12
LCM(91344,91356) = ( 91344 × 91356) / 12
LCM(91344,91356) = 8344822464 / 12
LCM(91344,91356) = 695401872

Least Common Multiple (LCM) of 91344 and 91356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91344 and 91356. First we will calculate the prime factors of 91344 and 91356.

Prime Factorization of 91344

Prime Factorization of 91356

Now multiplying the highest exponent prime factors to calculate the LCM of 91344 and 91356.

LCM(91344,91356) = 2⁴ × 3¹ × 11¹ × 173¹ × 23¹ × 331¹
LCM(91344,91356) = 695401872