What is the Least Common Multiple of 91425 and 91440?

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 91425 and 91440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91425 and 91440, than apply into the LCM equation.

GCF(91425,91440) = 15
LCM(91425,91440) = ( 91425 × 91440) / 15
LCM(91425,91440) = 8359902000 / 15
LCM(91425,91440) = 557326800

Least Common Multiple (LCM) of 91425 and 91440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91425 and 91440. First we will calculate the prime factors of 91425 and 91440.

Prime Factorization of 91425

Prime Factorization of 91440

Now multiplying the highest exponent prime factors to calculate the LCM of 91425 and 91440.

LCM(91425,91440) = 3² × 5² × 23¹ × 53¹ × 2⁴ × 127¹
LCM(91425,91440) = 557326800