What is the Least Common Multiple of 91356 and 91368?

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 91356 and 91368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91356 and 91368, than apply into the LCM equation.

GCF(91356,91368) = 12
LCM(91356,91368) = ( 91356 × 91368) / 12
LCM(91356,91368) = 8347015008 / 12
LCM(91356,91368) = 695584584

Least Common Multiple (LCM) of 91356 and 91368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91356 and 91368. First we will calculate the prime factors of 91356 and 91368.

Prime Factorization of 91356

Prime Factorization of 91368

Now multiplying the highest exponent prime factors to calculate the LCM of 91356 and 91368.

LCM(91356,91368) = 2³ × 3⁵ × 23¹ × 331¹ × 47¹
LCM(91356,91368) = 695584584