What is the Least Common Multiple of 91359 and 91377?

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 91359 and 91377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91359 and 91377, than apply into the LCM equation.

GCF(91359,91377) = 9
LCM(91359,91377) = ( 91359 × 91377) / 9
LCM(91359,91377) = 8348111343 / 9
LCM(91359,91377) = 927567927

Least Common Multiple (LCM) of 91359 and 91377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91359 and 91377. First we will calculate the prime factors of 91359 and 91377.

Prime Factorization of 91359

Prime Factorization of 91377

Now multiplying the highest exponent prime factors to calculate the LCM of 91359 and 91377.

LCM(91359,91377) = 3² × 10151¹ × 11¹ × 13¹ × 71¹
LCM(91359,91377) = 927567927