What is the Least Common Multiple of 91575 and 91585?

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 91575 and 91585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91575 and 91585, than apply into the LCM equation.

GCF(91575,91585) = 5
LCM(91575,91585) = ( 91575 × 91585) / 5
LCM(91575,91585) = 8386896375 / 5
LCM(91575,91585) = 1677379275

Least Common Multiple (LCM) of 91575 and 91585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91575 and 91585. First we will calculate the prime factors of 91575 and 91585.

Prime Factorization of 91575

Prime Factorization of 91585

Now multiplying the highest exponent prime factors to calculate the LCM of 91575 and 91585.

LCM(91575,91585) = 3² × 5² × 11¹ × 37¹ × 13¹ × 1409¹
LCM(91575,91585) = 1677379275