What is the Least Common Multiple of 30432 and 30450?

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 30432 and 30450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30432 and 30450, than apply into the LCM equation.

GCF(30432,30450) = 6
LCM(30432,30450) = ( 30432 × 30450) / 6
LCM(30432,30450) = 926654400 / 6
LCM(30432,30450) = 154442400

Least Common Multiple (LCM) of 30432 and 30450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30432 and 30450. First we will calculate the prime factors of 30432 and 30450.

Prime Factorization of 30432

Prime Factorization of 30450

Now multiplying the highest exponent prime factors to calculate the LCM of 30432 and 30450.

LCM(30432,30450) = 2⁵ × 3¹ × 317¹ × 5² × 7¹ × 29¹
LCM(30432,30450) = 154442400