What is the Least Common Multiple of 24360 and 24368?

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 24368 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 24368, than apply into the LCM equation.

GCF(24360,24368) = 8
LCM(24360,24368) = ( 24360 × 24368) / 8
LCM(24360,24368) = 593604480 / 8
LCM(24360,24368) = 74200560

Least Common Multiple (LCM) of 24360 and 24368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24360 and 24368. First we will calculate the prime factors of 24360 and 24368.

Prime Factorization of 24360

Prime Factorization of 24368

Now multiplying the highest exponent prime factors to calculate the LCM of 24360 and 24368.

LCM(24360,24368) = 2⁴ × 3¹ × 5¹ × 7¹ × 29¹ × 1523¹
LCM(24360,24368) = 74200560