What is the Least Common Multiple of 90450 and 90468?

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 90450 and 90468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90450 and 90468, than apply into the LCM equation.

GCF(90450,90468) = 18
LCM(90450,90468) = ( 90450 × 90468) / 18
LCM(90450,90468) = 8182830600 / 18
LCM(90450,90468) = 454601700

Least Common Multiple (LCM) of 90450 and 90468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90450 and 90468. First we will calculate the prime factors of 90450 and 90468.

Prime Factorization of 90450

Prime Factorization of 90468

Now multiplying the highest exponent prime factors to calculate the LCM of 90450 and 90468.

LCM(90450,90468) = 2² × 3³ × 5² × 67¹ × 7¹ × 359¹
LCM(90450,90468) = 454601700