What is the Least Common Multiple of 94470 and 94485?

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 94470 and 94485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94470 and 94485, than apply into the LCM equation.

GCF(94470,94485) = 15
LCM(94470,94485) = ( 94470 × 94485) / 15
LCM(94470,94485) = 8925997950 / 15
LCM(94470,94485) = 595066530

Least Common Multiple (LCM) of 94470 and 94485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94470 and 94485. First we will calculate the prime factors of 94470 and 94485.

Prime Factorization of 94470

Prime Factorization of 94485

Now multiplying the highest exponent prime factors to calculate the LCM of 94470 and 94485.

LCM(94470,94485) = 2¹ × 3¹ × 5¹ × 47¹ × 67¹ × 6299¹
LCM(94470,94485) = 595066530