What is the Least Common Multiple of 91360 and 91379?

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 91360 and 91379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91360 and 91379, than apply into the LCM equation.

GCF(91360,91379) = 1
LCM(91360,91379) = ( 91360 × 91379) / 1
LCM(91360,91379) = 8348385440 / 1
LCM(91360,91379) = 8348385440

Least Common Multiple (LCM) of 91360 and 91379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91360 and 91379. First we will calculate the prime factors of 91360 and 91379.

Prime Factorization of 91360

Prime Factorization of 91379

Now multiplying the highest exponent prime factors to calculate the LCM of 91360 and 91379.

LCM(91360,91379) = 2⁵ × 5¹ × 571¹ × 23¹ × 29¹ × 137¹
LCM(91360,91379) = 8348385440