What is the Least Common Multiple of 38028 and 38047?

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 38047 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 38047, than apply into the LCM equation.

GCF(38028,38047) = 1
LCM(38028,38047) = ( 38028 × 38047) / 1
LCM(38028,38047) = 1446851316 / 1
LCM(38028,38047) = 1446851316

Least Common Multiple (LCM) of 38028 and 38047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38028 and 38047. First we will calculate the prime factors of 38028 and 38047.

Prime Factorization of 38028

Prime Factorization of 38047

Now multiplying the highest exponent prime factors to calculate the LCM of 38028 and 38047.

LCM(38028,38047) = 2² × 3¹ × 3169¹ × 38047¹
LCM(38028,38047) = 1446851316