What is the Least Common Multiple of 19239 and 19249?

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 19239 and 19249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19239 and 19249, than apply into the LCM equation.

GCF(19239,19249) = 1
LCM(19239,19249) = ( 19239 × 19249) / 1
LCM(19239,19249) = 370331511 / 1
LCM(19239,19249) = 370331511

Least Common Multiple (LCM) of 19239 and 19249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19239 and 19249. First we will calculate the prime factors of 19239 and 19249.

Prime Factorization of 19239

Prime Factorization of 19249

Now multiplying the highest exponent prime factors to calculate the LCM of 19239 and 19249.

LCM(19239,19249) = 3¹ × 11² × 53¹ × 19249¹
LCM(19239,19249) = 370331511