What is the Least Common Multiple of 34204 and 34208?

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 34204 and 34208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34204 and 34208, than apply into the LCM equation.

GCF(34204,34208) = 4
LCM(34204,34208) = ( 34204 × 34208) / 4
LCM(34204,34208) = 1170050432 / 4
LCM(34204,34208) = 292512608

Least Common Multiple (LCM) of 34204 and 34208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34204 and 34208. First we will calculate the prime factors of 34204 and 34208.

Prime Factorization of 34204

Prime Factorization of 34208

Now multiplying the highest exponent prime factors to calculate the LCM of 34204 and 34208.

LCM(34204,34208) = 2⁵ × 17¹ × 503¹ × 1069¹
LCM(34204,34208) = 292512608