What is the Least Common Multiple of 90612 and 90630?

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 90630 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 90630, than apply into the LCM equation.

GCF(90612,90630) = 18
LCM(90612,90630) = ( 90612 × 90630) / 18
LCM(90612,90630) = 8212165560 / 18
LCM(90612,90630) = 456231420

Least Common Multiple (LCM) of 90612 and 90630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90612 and 90630. First we will calculate the prime factors of 90612 and 90630.

Prime Factorization of 90612

Prime Factorization of 90630

Now multiplying the highest exponent prime factors to calculate the LCM of 90612 and 90630.

LCM(90612,90630) = 2² × 3³ × 839¹ × 5¹ × 19¹ × 53¹
LCM(90612,90630) = 456231420