What is the Least Common Multiple of 24370 and 24380?

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 24370 and 24380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24370 and 24380, than apply into the LCM equation.

GCF(24370,24380) = 10
LCM(24370,24380) = ( 24370 × 24380) / 10
LCM(24370,24380) = 594140600 / 10
LCM(24370,24380) = 59414060

Least Common Multiple (LCM) of 24370 and 24380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24370 and 24380. First we will calculate the prime factors of 24370 and 24380.

Prime Factorization of 24370

Prime Factorization of 24380

Now multiplying the highest exponent prime factors to calculate the LCM of 24370 and 24380.

LCM(24370,24380) = 2² × 5¹ × 2437¹ × 23¹ × 53¹
LCM(24370,24380) = 59414060