What is the Least Common Multiple of 24598 and 24610?

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 24598 and 24610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24598 and 24610, than apply into the LCM equation.

GCF(24598,24610) = 2
LCM(24598,24610) = ( 24598 × 24610) / 2
LCM(24598,24610) = 605356780 / 2
LCM(24598,24610) = 302678390

Least Common Multiple (LCM) of 24598 and 24610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24598 and 24610. First we will calculate the prime factors of 24598 and 24610.

Prime Factorization of 24598

Prime Factorization of 24610

Now multiplying the highest exponent prime factors to calculate the LCM of 24598 and 24610.

LCM(24598,24610) = 2¹ × 7² × 251¹ × 5¹ × 23¹ × 107¹
LCM(24598,24610) = 302678390