What is the Least Common Multiple of 29124 and 29128?

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 29128 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 29128, than apply into the LCM equation.

GCF(29124,29128) = 4
LCM(29124,29128) = ( 29124 × 29128) / 4
LCM(29124,29128) = 848323872 / 4
LCM(29124,29128) = 212080968

Least Common Multiple (LCM) of 29124 and 29128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29124 and 29128. First we will calculate the prime factors of 29124 and 29128.

Prime Factorization of 29124

Prime Factorization of 29128

Now multiplying the highest exponent prime factors to calculate the LCM of 29124 and 29128.

LCM(29124,29128) = 2³ × 3² × 809¹ × 11¹ × 331¹
LCM(29124,29128) = 212080968