What is the Least Common Multiple of 24864 and 24870?

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 24864 and 24870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24864 and 24870, than apply into the LCM equation.

GCF(24864,24870) = 6
LCM(24864,24870) = ( 24864 × 24870) / 6
LCM(24864,24870) = 618367680 / 6
LCM(24864,24870) = 103061280

Least Common Multiple (LCM) of 24864 and 24870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24864 and 24870. First we will calculate the prime factors of 24864 and 24870.

Prime Factorization of 24864

Prime Factorization of 24870

Now multiplying the highest exponent prime factors to calculate the LCM of 24864 and 24870.

LCM(24864,24870) = 2⁵ × 3¹ × 7¹ × 37¹ × 5¹ × 829¹
LCM(24864,24870) = 103061280