What is the Least Common Multiple of 94454 and 94474?

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 94454 and 94474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94454 and 94474, than apply into the LCM equation.

GCF(94454,94474) = 2
LCM(94454,94474) = ( 94454 × 94474) / 2
LCM(94454,94474) = 8923447196 / 2
LCM(94454,94474) = 4461723598

Least Common Multiple (LCM) of 94454 and 94474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94454 and 94474. First we will calculate the prime factors of 94454 and 94474.

Prime Factorization of 94454

Prime Factorization of 94474

Now multiplying the highest exponent prime factors to calculate the LCM of 94454 and 94474.

LCM(94454,94474) = 2¹ × 83¹ × 569¹ × 47237¹
LCM(94454,94474) = 4461723598