What is the Least Common Multiple of 91545 and 91560?

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 91545 and 91560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91545 and 91560, than apply into the LCM equation.

GCF(91545,91560) = 15
LCM(91545,91560) = ( 91545 × 91560) / 15
LCM(91545,91560) = 8381860200 / 15
LCM(91545,91560) = 558790680

Least Common Multiple (LCM) of 91545 and 91560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91545 and 91560. First we will calculate the prime factors of 91545 and 91560.

Prime Factorization of 91545

Prime Factorization of 91560

Now multiplying the highest exponent prime factors to calculate the LCM of 91545 and 91560.

LCM(91545,91560) = 3¹ × 5¹ × 17¹ × 359¹ × 2³ × 7¹ × 109¹
LCM(91545,91560) = 558790680