What is the Least Common Multiple of 34239 and 34248?

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 34248 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 34248, than apply into the LCM equation.

GCF(34239,34248) = 3
LCM(34239,34248) = ( 34239 × 34248) / 3
LCM(34239,34248) = 1172617272 / 3
LCM(34239,34248) = 390872424

Least Common Multiple (LCM) of 34239 and 34248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34239 and 34248. First we will calculate the prime factors of 34239 and 34248.

Prime Factorization of 34239

Prime Factorization of 34248

Now multiplying the highest exponent prime factors to calculate the LCM of 34239 and 34248.

LCM(34239,34248) = 3¹ × 101¹ × 113¹ × 2³ × 1427¹
LCM(34239,34248) = 390872424