What is the Least Common Multiple of 72432 and 72438?

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 72432 and 72438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72432 and 72438, than apply into the LCM equation.

GCF(72432,72438) = 6
LCM(72432,72438) = ( 72432 × 72438) / 6
LCM(72432,72438) = 5246829216 / 6
LCM(72432,72438) = 874471536

Least Common Multiple (LCM) of 72432 and 72438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72432 and 72438. First we will calculate the prime factors of 72432 and 72438.

Prime Factorization of 72432

Prime Factorization of 72438

Now multiplying the highest exponent prime factors to calculate the LCM of 72432 and 72438.

LCM(72432,72438) = 2⁴ × 3² × 503¹ × 12073¹
LCM(72432,72438) = 874471536