What is the Least Common Multiple of 91365 and 91380?

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 91365 and 91380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91365 and 91380, than apply into the LCM equation.

GCF(91365,91380) = 15
LCM(91365,91380) = ( 91365 × 91380) / 15
LCM(91365,91380) = 8348933700 / 15
LCM(91365,91380) = 556595580

Least Common Multiple (LCM) of 91365 and 91380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91365 and 91380. First we will calculate the prime factors of 91365 and 91380.

Prime Factorization of 91365

Prime Factorization of 91380

Now multiplying the highest exponent prime factors to calculate the LCM of 91365 and 91380.

LCM(91365,91380) = 3¹ × 5¹ × 6091¹ × 2² × 1523¹
LCM(91365,91380) = 556595580