What is the Least Common Multiple of 19252 and 19267?

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 19252 and 19267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19252 and 19267, than apply into the LCM equation.

GCF(19252,19267) = 1
LCM(19252,19267) = ( 19252 × 19267) / 1
LCM(19252,19267) = 370928284 / 1
LCM(19252,19267) = 370928284

Least Common Multiple (LCM) of 19252 and 19267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19252 and 19267. First we will calculate the prime factors of 19252 and 19267.

Prime Factorization of 19252

Prime Factorization of 19267

Now multiplying the highest exponent prime factors to calculate the LCM of 19252 and 19267.

LCM(19252,19267) = 2² × 4813¹ × 19267¹
LCM(19252,19267) = 370928284