What is the Least Common Multiple of 72315 and 72330?

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 72315 and 72330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72315 and 72330, than apply into the LCM equation.

GCF(72315,72330) = 15
LCM(72315,72330) = ( 72315 × 72330) / 15
LCM(72315,72330) = 5230543950 / 15
LCM(72315,72330) = 348702930

Least Common Multiple (LCM) of 72315 and 72330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72315 and 72330. First we will calculate the prime factors of 72315 and 72330.

Prime Factorization of 72315

Prime Factorization of 72330

Now multiplying the highest exponent prime factors to calculate the LCM of 72315 and 72330.

LCM(72315,72330) = 3² × 5¹ × 1607¹ × 2¹ × 2411¹
LCM(72315,72330) = 348702930