What is the Least Common Multiple of 91509 and 91527?

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 91527 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 91527, than apply into the LCM equation.

GCF(91509,91527) = 3
LCM(91509,91527) = ( 91509 × 91527) / 3
LCM(91509,91527) = 8375544243 / 3
LCM(91509,91527) = 2791848081

Least Common Multiple (LCM) of 91509 and 91527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91509 and 91527. First we will calculate the prime factors of 91509 and 91527.

Prime Factorization of 91509

Prime Factorization of 91527

Now multiplying the highest exponent prime factors to calculate the LCM of 91509 and 91527.

LCM(91509,91527) = 3¹ × 11¹ × 47¹ × 59¹ × 30509¹
LCM(91509,91527) = 2791848081