What is the Least Common Multiple of 29204 and 29212?

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 29204 and 29212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29204 and 29212, than apply into the LCM equation.

GCF(29204,29212) = 4
LCM(29204,29212) = ( 29204 × 29212) / 4
LCM(29204,29212) = 853107248 / 4
LCM(29204,29212) = 213276812

Least Common Multiple (LCM) of 29204 and 29212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29204 and 29212. First we will calculate the prime factors of 29204 and 29212.

Prime Factorization of 29204

Prime Factorization of 29212

Now multiplying the highest exponent prime factors to calculate the LCM of 29204 and 29212.

LCM(29204,29212) = 2² × 7² × 149¹ × 67¹ × 109¹
LCM(29204,29212) = 213276812