What is the Least Common Multiple of 94620 and 94626?

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 94620 and 94626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94620 and 94626, than apply into the LCM equation.

GCF(94620,94626) = 6
LCM(94620,94626) = ( 94620 × 94626) / 6
LCM(94620,94626) = 8953512120 / 6
LCM(94620,94626) = 1492252020

Least Common Multiple (LCM) of 94620 and 94626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94620 and 94626. First we will calculate the prime factors of 94620 and 94626.

Prime Factorization of 94620

Prime Factorization of 94626

Now multiplying the highest exponent prime factors to calculate the LCM of 94620 and 94626.

LCM(94620,94626) = 2² × 3² × 5¹ × 19¹ × 83¹ × 7¹ × 751¹
LCM(94620,94626) = 1492252020