What is the Least Common Multiple of 24350 and 24360?

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 24350 and 24360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24350 and 24360, than apply into the LCM equation.

GCF(24350,24360) = 10
LCM(24350,24360) = ( 24350 × 24360) / 10
LCM(24350,24360) = 593166000 / 10
LCM(24350,24360) = 59316600

Least Common Multiple (LCM) of 24350 and 24360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24350 and 24360. First we will calculate the prime factors of 24350 and 24360.

Prime Factorization of 24350

Prime Factorization of 24360

Now multiplying the highest exponent prime factors to calculate the LCM of 24350 and 24360.

LCM(24350,24360) = 2³ × 5² × 487¹ × 3¹ × 7¹ × 29¹
LCM(24350,24360) = 59316600