What is the Least Common Multiple of 91161 and 91177?

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 91161 and 91177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91161 and 91177, than apply into the LCM equation.

GCF(91161,91177) = 1
LCM(91161,91177) = ( 91161 × 91177) / 1
LCM(91161,91177) = 8311786497 / 1
LCM(91161,91177) = 8311786497

Least Common Multiple (LCM) of 91161 and 91177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91161 and 91177. First we will calculate the prime factors of 91161 and 91177.

Prime Factorization of 91161

Prime Factorization of 91177

Now multiplying the highest exponent prime factors to calculate the LCM of 91161 and 91177.

LCM(91161,91177) = 3² × 7¹ × 1447¹ × 73¹ × 1249¹
LCM(91161,91177) = 8311786497