What is the Least Common Multiple of 24380 and 24390?

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 24380 and 24390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24380 and 24390, than apply into the LCM equation.

GCF(24380,24390) = 10
LCM(24380,24390) = ( 24380 × 24390) / 10
LCM(24380,24390) = 594628200 / 10
LCM(24380,24390) = 59462820

Least Common Multiple (LCM) of 24380 and 24390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24380 and 24390. First we will calculate the prime factors of 24380 and 24390.

Prime Factorization of 24380

Prime Factorization of 24390

Now multiplying the highest exponent prime factors to calculate the LCM of 24380 and 24390.

LCM(24380,24390) = 2² × 5¹ × 23¹ × 53¹ × 3² × 271¹
LCM(24380,24390) = 59462820