What is the Least Common Multiple of 38028 and 38037?

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 38028 and 38037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38028 and 38037, than apply into the LCM equation.

GCF(38028,38037) = 3
LCM(38028,38037) = ( 38028 × 38037) / 3
LCM(38028,38037) = 1446471036 / 3
LCM(38028,38037) = 482157012

Least Common Multiple (LCM) of 38028 and 38037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38028 and 38037. First we will calculate the prime factors of 38028 and 38037.

Prime Factorization of 38028

Prime Factorization of 38037

Now multiplying the highest exponent prime factors to calculate the LCM of 38028 and 38037.

LCM(38028,38037) = 2² × 3¹ × 3169¹ × 31¹ × 409¹
LCM(38028,38037) = 482157012