What is the Least Common Multiple of 91575 and 91584?

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 91575 and 91584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91575 and 91584, than apply into the LCM equation.

GCF(91575,91584) = 9
LCM(91575,91584) = ( 91575 × 91584) / 9
LCM(91575,91584) = 8386804800 / 9
LCM(91575,91584) = 931867200

Least Common Multiple (LCM) of 91575 and 91584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91575 and 91584. First we will calculate the prime factors of 91575 and 91584.

Prime Factorization of 91575

Prime Factorization of 91584

Now multiplying the highest exponent prime factors to calculate the LCM of 91575 and 91584.

LCM(91575,91584) = 3³ × 5² × 11¹ × 37¹ × 2⁶ × 53¹
LCM(91575,91584) = 931867200