What is the Least Common Multiple of 91485 and 91491?

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 91485 and 91491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91485 and 91491, than apply into the LCM equation.

GCF(91485,91491) = 3
LCM(91485,91491) = ( 91485 × 91491) / 3
LCM(91485,91491) = 8370054135 / 3
LCM(91485,91491) = 2790018045

Least Common Multiple (LCM) of 91485 and 91491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91485 and 91491. First we will calculate the prime factors of 91485 and 91491.

Prime Factorization of 91485

Prime Factorization of 91491

Now multiplying the highest exponent prime factors to calculate the LCM of 91485 and 91491.

LCM(91485,91491) = 3² × 5¹ × 19¹ × 107¹ × 30497¹
LCM(91485,91491) = 2790018045