What is the Least Common Multiple of 72450 and 72465?

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 72450 and 72465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72450 and 72465, than apply into the LCM equation.

GCF(72450,72465) = 15
LCM(72450,72465) = ( 72450 × 72465) / 15
LCM(72450,72465) = 5250089250 / 15
LCM(72450,72465) = 350005950

Least Common Multiple (LCM) of 72450 and 72465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72450 and 72465. First we will calculate the prime factors of 72450 and 72465.

Prime Factorization of 72450

Prime Factorization of 72465

Now multiplying the highest exponent prime factors to calculate the LCM of 72450 and 72465.

LCM(72450,72465) = 2¹ × 3² × 5² × 7¹ × 23¹ × 4831¹
LCM(72450,72465) = 350005950