What is the Least Common Multiple of 39392 and 39412?

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 39392 and 39412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39392 and 39412, than apply into the LCM equation.

GCF(39392,39412) = 4
LCM(39392,39412) = ( 39392 × 39412) / 4
LCM(39392,39412) = 1552517504 / 4
LCM(39392,39412) = 388129376

Least Common Multiple (LCM) of 39392 and 39412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39392 and 39412. First we will calculate the prime factors of 39392 and 39412.

Prime Factorization of 39392

Prime Factorization of 39412

Now multiplying the highest exponent prime factors to calculate the LCM of 39392 and 39412.

LCM(39392,39412) = 2⁵ × 1231¹ × 59¹ × 167¹
LCM(39392,39412) = 388129376