What is the Least Common Multiple of 38019 and 38038?

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 38019 and 38038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38019 and 38038, than apply into the LCM equation.

GCF(38019,38038) = 19
LCM(38019,38038) = ( 38019 × 38038) / 19
LCM(38019,38038) = 1446166722 / 19
LCM(38019,38038) = 76114038

Least Common Multiple (LCM) of 38019 and 38038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38019 and 38038. First we will calculate the prime factors of 38019 and 38038.

Prime Factorization of 38019

Prime Factorization of 38038

Now multiplying the highest exponent prime factors to calculate the LCM of 38019 and 38038.

LCM(38019,38038) = 3¹ × 19¹ × 23¹ × 29¹ × 2¹ × 7¹ × 11¹ × 13¹
LCM(38019,38038) = 76114038