What is the Least Common Multiple of 24712 and 24730?

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 24712 and 24730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24712 and 24730, than apply into the LCM equation.

GCF(24712,24730) = 2
LCM(24712,24730) = ( 24712 × 24730) / 2
LCM(24712,24730) = 611127760 / 2
LCM(24712,24730) = 305563880

Least Common Multiple (LCM) of 24712 and 24730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24712 and 24730. First we will calculate the prime factors of 24712 and 24730.

Prime Factorization of 24712

Prime Factorization of 24730

Now multiplying the highest exponent prime factors to calculate the LCM of 24712 and 24730.

LCM(24712,24730) = 2³ × 3089¹ × 5¹ × 2473¹
LCM(24712,24730) = 305563880