What is the Least Common Multiple of 91352 and 91360?

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 91352 and 91360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91352 and 91360, than apply into the LCM equation.

GCF(91352,91360) = 8
LCM(91352,91360) = ( 91352 × 91360) / 8
LCM(91352,91360) = 8345918720 / 8
LCM(91352,91360) = 1043239840

Least Common Multiple (LCM) of 91352 and 91360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91352 and 91360. First we will calculate the prime factors of 91352 and 91360.

Prime Factorization of 91352

Prime Factorization of 91360

Now multiplying the highest exponent prime factors to calculate the LCM of 91352 and 91360.

LCM(91352,91360) = 2⁵ × 19¹ × 601¹ × 5¹ × 571¹
LCM(91352,91360) = 1043239840