What is the Least Common Multiple of 24360 and 24378?

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 24360 and 24378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24360 and 24378, than apply into the LCM equation.

GCF(24360,24378) = 6
LCM(24360,24378) = ( 24360 × 24378) / 6
LCM(24360,24378) = 593848080 / 6
LCM(24360,24378) = 98974680

Least Common Multiple (LCM) of 24360 and 24378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24360 and 24378. First we will calculate the prime factors of 24360 and 24378.

Prime Factorization of 24360

Prime Factorization of 24378

Now multiplying the highest exponent prime factors to calculate the LCM of 24360 and 24378.

LCM(24360,24378) = 2³ × 3¹ × 5¹ × 7¹ × 29¹ × 17¹ × 239¹
LCM(24360,24378) = 98974680