What is the Least Common Multiple of 94550 and 94566?

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 94550 and 94566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94550 and 94566, than apply into the LCM equation.

GCF(94550,94566) = 2
LCM(94550,94566) = ( 94550 × 94566) / 2
LCM(94550,94566) = 8941215300 / 2
LCM(94550,94566) = 4470607650

Least Common Multiple (LCM) of 94550 and 94566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94550 and 94566. First we will calculate the prime factors of 94550 and 94566.

Prime Factorization of 94550

Prime Factorization of 94566

Now multiplying the highest exponent prime factors to calculate the LCM of 94550 and 94566.

LCM(94550,94566) = 2¹ × 5² × 31¹ × 61¹ × 3¹ × 15761¹
LCM(94550,94566) = 4470607650