What is the Least Common Multiple of 91149 and 91161?

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 91149 and 91161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91149 and 91161, than apply into the LCM equation.

GCF(91149,91161) = 3
LCM(91149,91161) = ( 91149 × 91161) / 3
LCM(91149,91161) = 8309233989 / 3
LCM(91149,91161) = 2769744663

Least Common Multiple (LCM) of 91149 and 91161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91149 and 91161. First we will calculate the prime factors of 91149 and 91161.

Prime Factorization of 91149

Prime Factorization of 91161

Now multiplying the highest exponent prime factors to calculate the LCM of 91149 and 91161.

LCM(91149,91161) = 3² × 23¹ × 1321¹ × 7¹ × 1447¹
LCM(91149,91161) = 2769744663