What is the Least Common Multiple of 8032 and 8038?

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 8032 and 8038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8032 and 8038, than apply into the LCM equation.

GCF(8032,8038) = 2
LCM(8032,8038) = ( 8032 × 8038) / 2
LCM(8032,8038) = 64561216 / 2
LCM(8032,8038) = 32280608

Least Common Multiple (LCM) of 8032 and 8038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8032 and 8038. First we will calculate the prime factors of 8032 and 8038.

Prime Factorization of 8032

Prime Factorization of 8038

Now multiplying the highest exponent prime factors to calculate the LCM of 8032 and 8038.

LCM(8032,8038) = 2⁵ × 251¹ × 4019¹
LCM(8032,8038) = 32280608