What is the Least Common Multiple of 91560 and 91575?

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 91560 and 91575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91560 and 91575, than apply into the LCM equation.

GCF(91560,91575) = 15
LCM(91560,91575) = ( 91560 × 91575) / 15
LCM(91560,91575) = 8384607000 / 15
LCM(91560,91575) = 558973800

Least Common Multiple (LCM) of 91560 and 91575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91560 and 91575. First we will calculate the prime factors of 91560 and 91575.

Prime Factorization of 91560

Prime Factorization of 91575

Now multiplying the highest exponent prime factors to calculate the LCM of 91560 and 91575.

LCM(91560,91575) = 2³ × 3² × 5² × 7¹ × 109¹ × 11¹ × 37¹
LCM(91560,91575) = 558973800