What is the Least Common Multiple of 91509 and 91524?

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 91509 and 91524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91509 and 91524, than apply into the LCM equation.

GCF(91509,91524) = 3
LCM(91509,91524) = ( 91509 × 91524) / 3
LCM(91509,91524) = 8375269716 / 3
LCM(91509,91524) = 2791756572

Least Common Multiple (LCM) of 91509 and 91524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91509 and 91524. First we will calculate the prime factors of 91509 and 91524.

Prime Factorization of 91509

Prime Factorization of 91524

Now multiplying the highest exponent prime factors to calculate the LCM of 91509 and 91524.

LCM(91509,91524) = 3¹ × 11¹ × 47¹ × 59¹ × 2² × 29¹ × 263¹
LCM(91509,91524) = 2791756572