What is the Least Common Multiple of 64038 and 64047?

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 64038 and 64047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64038 and 64047, than apply into the LCM equation.

GCF(64038,64047) = 3
LCM(64038,64047) = ( 64038 × 64047) / 3
LCM(64038,64047) = 4101441786 / 3
LCM(64038,64047) = 1367147262

Least Common Multiple (LCM) of 64038 and 64047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64038 and 64047. First we will calculate the prime factors of 64038 and 64047.

Prime Factorization of 64038

Prime Factorization of 64047

Now multiplying the highest exponent prime factors to calculate the LCM of 64038 and 64047.

LCM(64038,64047) = 2¹ × 3¹ × 13¹ × 821¹ × 37¹ × 577¹
LCM(64038,64047) = 1367147262