What is the Least Common Multiple of 99124 and 99144?

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 99124 and 99144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99124 and 99144, than apply into the LCM equation.

GCF(99124,99144) = 4
LCM(99124,99144) = ( 99124 × 99144) / 4
LCM(99124,99144) = 9827549856 / 4
LCM(99124,99144) = 2456887464

Least Common Multiple (LCM) of 99124 and 99144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99124 and 99144. First we will calculate the prime factors of 99124 and 99144.

Prime Factorization of 99124

Prime Factorization of 99144

Now multiplying the highest exponent prime factors to calculate the LCM of 99124 and 99144.

LCM(99124,99144) = 2³ × 24781¹ × 3⁶ × 17¹
LCM(99124,99144) = 2456887464