What is the Least Common Multiple of 39248 and 39256?

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 39248 and 39256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39248 and 39256, than apply into the LCM equation.

GCF(39248,39256) = 8
LCM(39248,39256) = ( 39248 × 39256) / 8
LCM(39248,39256) = 1540719488 / 8
LCM(39248,39256) = 192589936

Least Common Multiple (LCM) of 39248 and 39256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39248 and 39256. First we will calculate the prime factors of 39248 and 39256.

Prime Factorization of 39248

Prime Factorization of 39256

Now multiplying the highest exponent prime factors to calculate the LCM of 39248 and 39256.

LCM(39248,39256) = 2⁴ × 11¹ × 223¹ × 7¹ × 701¹
LCM(39248,39256) = 192589936