What is the Least Common Multiple of 91584 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 91584 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 91584 and 91590, than apply into the LCM equation.

GCF(91584,91590) = 6
LCM(91584,91590) = ( 91584 × 91590) / 6
LCM(91584,91590) = 8388178560 / 6
LCM(91584,91590) = 1398029760

Least Common Multiple (LCM) of 91584 and 91590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91584 and 91590. First we will calculate the prime factors of 91584 and 91590.

Prime Factorization of 91584

Prime Factorization of 91590

Now multiplying the highest exponent prime factors to calculate the LCM of 91584 and 91590.

LCM(91584,91590) = 2⁶ × 3³ × 53¹ × 5¹ × 43¹ × 71¹
LCM(91584,91590) = 1398029760