What is the Least Common Multiple of 24870 and 24884?

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 24870 and 24884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24870 and 24884, than apply into the LCM equation.

GCF(24870,24884) = 2
LCM(24870,24884) = ( 24870 × 24884) / 2
LCM(24870,24884) = 618865080 / 2
LCM(24870,24884) = 309432540

Least Common Multiple (LCM) of 24870 and 24884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24870 and 24884. First we will calculate the prime factors of 24870 and 24884.

Prime Factorization of 24870

Prime Factorization of 24884

Now multiplying the highest exponent prime factors to calculate the LCM of 24870 and 24884.

LCM(24870,24884) = 2² × 3¹ × 5¹ × 829¹ × 6221¹
LCM(24870,24884) = 309432540