What is the Least Common Multiple of 94485 and 94497?

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 94485 and 94497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94485 and 94497, than apply into the LCM equation.

GCF(94485,94497) = 3
LCM(94485,94497) = ( 94485 × 94497) / 3
LCM(94485,94497) = 8928549045 / 3
LCM(94485,94497) = 2976183015

Least Common Multiple (LCM) of 94485 and 94497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94485 and 94497. First we will calculate the prime factors of 94485 and 94497.

Prime Factorization of 94485

Prime Factorization of 94497

Now multiplying the highest exponent prime factors to calculate the LCM of 94485 and 94497.

LCM(94485,94497) = 3¹ × 5¹ × 6299¹ × 13¹ × 2423¹
LCM(94485,94497) = 2976183015