What is the Least Common Multiple of 90612 and 90629?

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 90612 and 90629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90612 and 90629, than apply into the LCM equation.

GCF(90612,90629) = 1
LCM(90612,90629) = ( 90612 × 90629) / 1
LCM(90612,90629) = 8212074948 / 1
LCM(90612,90629) = 8212074948

Least Common Multiple (LCM) of 90612 and 90629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90612 and 90629. First we will calculate the prime factors of 90612 and 90629.

Prime Factorization of 90612

Prime Factorization of 90629

Now multiplying the highest exponent prime factors to calculate the LCM of 90612 and 90629.

LCM(90612,90629) = 2² × 3³ × 839¹ × 7¹ × 11² × 107¹
LCM(90612,90629) = 8212074948