What is the Least Common Multiple of 94475 and 94490?

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 94475 and 94490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94475 and 94490, than apply into the LCM equation.

GCF(94475,94490) = 5
LCM(94475,94490) = ( 94475 × 94490) / 5
LCM(94475,94490) = 8926942750 / 5
LCM(94475,94490) = 1785388550

Least Common Multiple (LCM) of 94475 and 94490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94475 and 94490. First we will calculate the prime factors of 94475 and 94490.

Prime Factorization of 94475

Prime Factorization of 94490

Now multiplying the highest exponent prime factors to calculate the LCM of 94475 and 94490.

LCM(94475,94490) = 5² × 3779¹ × 2¹ × 11¹ × 859¹
LCM(94475,94490) = 1785388550