What is the Least Common Multiple of 64032 and 64038?

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 64032 and 64038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64032 and 64038, than apply into the LCM equation.

GCF(64032,64038) = 6
LCM(64032,64038) = ( 64032 × 64038) / 6
LCM(64032,64038) = 4100481216 / 6
LCM(64032,64038) = 683413536

Least Common Multiple (LCM) of 64032 and 64038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64032 and 64038. First we will calculate the prime factors of 64032 and 64038.

Prime Factorization of 64032

Prime Factorization of 64038

Now multiplying the highest exponent prime factors to calculate the LCM of 64032 and 64038.

LCM(64032,64038) = 2⁵ × 3¹ × 23¹ × 29¹ × 13¹ × 821¹
LCM(64032,64038) = 683413536