What is the Least Common Multiple of 39234 and 39248?

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 39234 and 39248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39234 and 39248, than apply into the LCM equation.

GCF(39234,39248) = 2
LCM(39234,39248) = ( 39234 × 39248) / 2
LCM(39234,39248) = 1539856032 / 2
LCM(39234,39248) = 769928016

Least Common Multiple (LCM) of 39234 and 39248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39234 and 39248. First we will calculate the prime factors of 39234 and 39248.

Prime Factorization of 39234

Prime Factorization of 39248

Now multiplying the highest exponent prime factors to calculate the LCM of 39234 and 39248.

LCM(39234,39248) = 2⁴ × 3¹ × 13¹ × 503¹ × 11¹ × 223¹
LCM(39234,39248) = 769928016