What is the Least Common Multiple of 39008 and 39022?

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 39008 and 39022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39008 and 39022, than apply into the LCM equation.

GCF(39008,39022) = 2
LCM(39008,39022) = ( 39008 × 39022) / 2
LCM(39008,39022) = 1522170176 / 2
LCM(39008,39022) = 761085088

Least Common Multiple (LCM) of 39008 and 39022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39008 and 39022. First we will calculate the prime factors of 39008 and 39022.

Prime Factorization of 39008

Prime Factorization of 39022

Now multiplying the highest exponent prime factors to calculate the LCM of 39008 and 39022.

LCM(39008,39022) = 2⁵ × 23¹ × 53¹ × 109¹ × 179¹
LCM(39008,39022) = 761085088