What is the Least Common Multiple of 24860 and 24874?

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 24860 and 24874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24860 and 24874, than apply into the LCM equation.

GCF(24860,24874) = 2
LCM(24860,24874) = ( 24860 × 24874) / 2
LCM(24860,24874) = 618367640 / 2
LCM(24860,24874) = 309183820

Least Common Multiple (LCM) of 24860 and 24874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24860 and 24874. First we will calculate the prime factors of 24860 and 24874.

Prime Factorization of 24860

Prime Factorization of 24874

Now multiplying the highest exponent prime factors to calculate the LCM of 24860 and 24874.

LCM(24860,24874) = 2² × 5¹ × 11¹ × 113¹ × 12437¹
LCM(24860,24874) = 309183820