What is the Least Common Multiple of 72390 and 72408?

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 72390 and 72408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72390 and 72408, than apply into the LCM equation.

GCF(72390,72408) = 6
LCM(72390,72408) = ( 72390 × 72408) / 6
LCM(72390,72408) = 5241615120 / 6
LCM(72390,72408) = 873602520

Least Common Multiple (LCM) of 72390 and 72408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72390 and 72408. First we will calculate the prime factors of 72390 and 72408.

Prime Factorization of 72390

Prime Factorization of 72408

Now multiplying the highest exponent prime factors to calculate the LCM of 72390 and 72408.

LCM(72390,72408) = 2³ × 3¹ × 5¹ × 19¹ × 127¹ × 7¹ × 431¹
LCM(72390,72408) = 873602520