What is the Least Common Multiple of 24140 and 24150?

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 24140 and 24150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24140 and 24150, than apply into the LCM equation.

GCF(24140,24150) = 10
LCM(24140,24150) = ( 24140 × 24150) / 10
LCM(24140,24150) = 582981000 / 10
LCM(24140,24150) = 58298100

Least Common Multiple (LCM) of 24140 and 24150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24140 and 24150. First we will calculate the prime factors of 24140 and 24150.

Prime Factorization of 24140

Prime Factorization of 24150

Now multiplying the highest exponent prime factors to calculate the LCM of 24140 and 24150.

LCM(24140,24150) = 2² × 5² × 17¹ × 71¹ × 3¹ × 7¹ × 23¹
LCM(24140,24150) = 58298100