What is the Least Common Multiple of 72435 and 72450?

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 72435 and 72450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72435 and 72450, than apply into the LCM equation.

GCF(72435,72450) = 15
LCM(72435,72450) = ( 72435 × 72450) / 15
LCM(72435,72450) = 5247915750 / 15
LCM(72435,72450) = 349861050

Least Common Multiple (LCM) of 72435 and 72450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72435 and 72450. First we will calculate the prime factors of 72435 and 72450.

Prime Factorization of 72435

Prime Factorization of 72450

Now multiplying the highest exponent prime factors to calculate the LCM of 72435 and 72450.

LCM(72435,72450) = 3² × 5² × 11¹ × 439¹ × 2¹ × 7¹ × 23¹
LCM(72435,72450) = 349861050