What is the Least Common Multiple of 19208 and 19222?

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 19208 and 19222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19208 and 19222, than apply into the LCM equation.

GCF(19208,19222) = 14
LCM(19208,19222) = ( 19208 × 19222) / 14
LCM(19208,19222) = 369216176 / 14
LCM(19208,19222) = 26372584

Least Common Multiple (LCM) of 19208 and 19222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19208 and 19222. First we will calculate the prime factors of 19208 and 19222.

Prime Factorization of 19208

Prime Factorization of 19222

Now multiplying the highest exponent prime factors to calculate the LCM of 19208 and 19222.

LCM(19208,19222) = 2³ × 7⁴ × 1373¹
LCM(19208,19222) = 26372584