What is the Least Common Multiple of 91485 and 91504?

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 91504 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 91504, than apply into the LCM equation.

GCF(91485,91504) = 19
LCM(91485,91504) = ( 91485 × 91504) / 19
LCM(91485,91504) = 8371243440 / 19
LCM(91485,91504) = 440591760

Least Common Multiple (LCM) of 91485 and 91504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91485 and 91504. First we will calculate the prime factors of 91485 and 91504.

Prime Factorization of 91485

Prime Factorization of 91504

Now multiplying the highest exponent prime factors to calculate the LCM of 91485 and 91504.

LCM(91485,91504) = 3² × 5¹ × 19¹ × 107¹ × 2⁴ × 7¹ × 43¹
LCM(91485,91504) = 440591760