What is the Least Common Multiple of 19204 and 19210?

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 19204 and 19210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19204 and 19210, than apply into the LCM equation.

GCF(19204,19210) = 2
LCM(19204,19210) = ( 19204 × 19210) / 2
LCM(19204,19210) = 368908840 / 2
LCM(19204,19210) = 184454420

Least Common Multiple (LCM) of 19204 and 19210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19204 and 19210. First we will calculate the prime factors of 19204 and 19210.

Prime Factorization of 19204

Prime Factorization of 19210

Now multiplying the highest exponent prime factors to calculate the LCM of 19204 and 19210.

LCM(19204,19210) = 2² × 4801¹ × 5¹ × 17¹ × 113¹
LCM(19204,19210) = 184454420