What is the Least Common Multiple of 91572 and 91590?

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 91572 and 91590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91572 and 91590, than apply into the LCM equation.

GCF(91572,91590) = 6
LCM(91572,91590) = ( 91572 × 91590) / 6
LCM(91572,91590) = 8387079480 / 6
LCM(91572,91590) = 1397846580

Least Common Multiple (LCM) of 91572 and 91590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91572 and 91590. First we will calculate the prime factors of 91572 and 91590.

Prime Factorization of 91572

Prime Factorization of 91590

Now multiplying the highest exponent prime factors to calculate the LCM of 91572 and 91590.

LCM(91572,91590) = 2² × 3¹ × 13¹ × 587¹ × 5¹ × 43¹ × 71¹
LCM(91572,91590) = 1397846580