What is the Least Common Multiple of 29124 and 29138?

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 29138 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 29138, than apply into the LCM equation.

GCF(29124,29138) = 2
LCM(29124,29138) = ( 29124 × 29138) / 2
LCM(29124,29138) = 848615112 / 2
LCM(29124,29138) = 424307556

Least Common Multiple (LCM) of 29124 and 29138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29124 and 29138. First we will calculate the prime factors of 29124 and 29138.

Prime Factorization of 29124

Prime Factorization of 29138

Now multiplying the highest exponent prime factors to calculate the LCM of 29124 and 29138.

LCM(29124,29138) = 2² × 3² × 809¹ × 17¹ × 857¹
LCM(29124,29138) = 424307556