What is the Least Common Multiple of 38404 and 38412?

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 38404 and 38412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38404 and 38412, than apply into the LCM equation.

GCF(38404,38412) = 4
LCM(38404,38412) = ( 38404 × 38412) / 4
LCM(38404,38412) = 1475174448 / 4
LCM(38404,38412) = 368793612

Least Common Multiple (LCM) of 38404 and 38412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38404 and 38412. First we will calculate the prime factors of 38404 and 38412.

Prime Factorization of 38404

Prime Factorization of 38412

Now multiplying the highest exponent prime factors to calculate the LCM of 38404 and 38412.

LCM(38404,38412) = 2² × 9601¹ × 3² × 11¹ × 97¹
LCM(38404,38412) = 368793612