What is the Least Common Multiple of 38104 and 38112?

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 38104 and 38112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38104 and 38112, than apply into the LCM equation.

GCF(38104,38112) = 8
LCM(38104,38112) = ( 38104 × 38112) / 8
LCM(38104,38112) = 1452219648 / 8
LCM(38104,38112) = 181527456

Least Common Multiple (LCM) of 38104 and 38112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38104 and 38112. First we will calculate the prime factors of 38104 and 38112.

Prime Factorization of 38104

Prime Factorization of 38112

Now multiplying the highest exponent prime factors to calculate the LCM of 38104 and 38112.

LCM(38104,38112) = 2⁵ × 11¹ × 433¹ × 3¹ × 397¹
LCM(38104,38112) = 181527456