What is the Least Common Multiple of 29124 and 29144?

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 29124 and 29144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29124 and 29144, than apply into the LCM equation.

GCF(29124,29144) = 4
LCM(29124,29144) = ( 29124 × 29144) / 4
LCM(29124,29144) = 848789856 / 4
LCM(29124,29144) = 212197464

Least Common Multiple (LCM) of 29124 and 29144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29124 and 29144. First we will calculate the prime factors of 29124 and 29144.

Prime Factorization of 29124

Prime Factorization of 29144

Now multiplying the highest exponent prime factors to calculate the LCM of 29124 and 29144.

LCM(29124,29144) = 2³ × 3² × 809¹ × 3643¹
LCM(29124,29144) = 212197464