What is the Least Common Multiple of 24140 and 24160?

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 24160 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 24160, than apply into the LCM equation.

GCF(24140,24160) = 20
LCM(24140,24160) = ( 24140 × 24160) / 20
LCM(24140,24160) = 583222400 / 20
LCM(24140,24160) = 29161120

Least Common Multiple (LCM) of 24140 and 24160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24140 and 24160. First we will calculate the prime factors of 24140 and 24160.

Prime Factorization of 24140

Prime Factorization of 24160

Now multiplying the highest exponent prime factors to calculate the LCM of 24140 and 24160.

LCM(24140,24160) = 2⁵ × 5¹ × 17¹ × 71¹ × 151¹
LCM(24140,24160) = 29161120