What is the Least Common Multiple of 24120 and 24140?

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 24120 and 24140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24120 and 24140, than apply into the LCM equation.

GCF(24120,24140) = 20
LCM(24120,24140) = ( 24120 × 24140) / 20
LCM(24120,24140) = 582256800 / 20
LCM(24120,24140) = 29112840

Least Common Multiple (LCM) of 24120 and 24140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24120 and 24140. First we will calculate the prime factors of 24120 and 24140.

Prime Factorization of 24120

Prime Factorization of 24140

Now multiplying the highest exponent prime factors to calculate the LCM of 24120 and 24140.

LCM(24120,24140) = 2³ × 3² × 5¹ × 67¹ × 17¹ × 71¹
LCM(24120,24140) = 29112840