What is the Least Common Multiple of 91152 and 91167?

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 91152 and 91167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91152 and 91167, than apply into the LCM equation.

GCF(91152,91167) = 3
LCM(91152,91167) = ( 91152 × 91167) / 3
LCM(91152,91167) = 8310054384 / 3
LCM(91152,91167) = 2770018128

Least Common Multiple (LCM) of 91152 and 91167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91152 and 91167. First we will calculate the prime factors of 91152 and 91167.

Prime Factorization of 91152

Prime Factorization of 91167

Now multiplying the highest exponent prime factors to calculate the LCM of 91152 and 91167.

LCM(91152,91167) = 2⁴ × 3³ × 211¹ × 30389¹
LCM(91152,91167) = 2770018128