What is the Least Common Multiple of 34239 and 34249?

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 34239 and 34249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34239 and 34249, than apply into the LCM equation.

GCF(34239,34249) = 1
LCM(34239,34249) = ( 34239 × 34249) / 1
LCM(34239,34249) = 1172651511 / 1
LCM(34239,34249) = 1172651511

Least Common Multiple (LCM) of 34239 and 34249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34239 and 34249. First we will calculate the prime factors of 34239 and 34249.

Prime Factorization of 34239

Prime Factorization of 34249

Now multiplying the highest exponent prime factors to calculate the LCM of 34239 and 34249.

LCM(34239,34249) = 3¹ × 101¹ × 113¹ × 29¹ × 1181¹
LCM(34239,34249) = 1172651511