What is the Least Common Multiple of 34192 and 34204?

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 34192 and 34204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34192 and 34204, than apply into the LCM equation.

GCF(34192,34204) = 4
LCM(34192,34204) = ( 34192 × 34204) / 4
LCM(34192,34204) = 1169503168 / 4
LCM(34192,34204) = 292375792

Least Common Multiple (LCM) of 34192 and 34204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34192 and 34204. First we will calculate the prime factors of 34192 and 34204.

Prime Factorization of 34192

Prime Factorization of 34204

Now multiplying the highest exponent prime factors to calculate the LCM of 34192 and 34204.

LCM(34192,34204) = 2⁴ × 2137¹ × 17¹ × 503¹
LCM(34192,34204) = 292375792