What is the Least Common Multiple of 38112 and 38119?

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 38112 and 38119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38112 and 38119, than apply into the LCM equation.

GCF(38112,38119) = 1
LCM(38112,38119) = ( 38112 × 38119) / 1
LCM(38112,38119) = 1452791328 / 1
LCM(38112,38119) = 1452791328

Least Common Multiple (LCM) of 38112 and 38119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38112 and 38119. First we will calculate the prime factors of 38112 and 38119.

Prime Factorization of 38112

Prime Factorization of 38119

Now multiplying the highest exponent prime factors to calculate the LCM of 38112 and 38119.

LCM(38112,38119) = 2⁵ × 3¹ × 397¹ × 38119¹
LCM(38112,38119) = 1452791328