What is the Least Common Multiple of 91131 and 91146?

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 91131 and 91146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91131 and 91146, than apply into the LCM equation.

GCF(91131,91146) = 3
LCM(91131,91146) = ( 91131 × 91146) / 3
LCM(91131,91146) = 8306226126 / 3
LCM(91131,91146) = 2768742042

Least Common Multiple (LCM) of 91131 and 91146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91131 and 91146. First we will calculate the prime factors of 91131 and 91146.

Prime Factorization of 91131

Prime Factorization of 91146

Now multiplying the highest exponent prime factors to calculate the LCM of 91131 and 91146.

LCM(91131,91146) = 3¹ × 37¹ × 821¹ × 2¹ × 11¹ × 1381¹
LCM(91131,91146) = 2768742042