What is the Least Common Multiple of 40008 and 40022?

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 40008 and 40022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40008 and 40022, than apply into the LCM equation.

GCF(40008,40022) = 2
LCM(40008,40022) = ( 40008 × 40022) / 2
LCM(40008,40022) = 1601200176 / 2
LCM(40008,40022) = 800600088

Least Common Multiple (LCM) of 40008 and 40022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40008 and 40022. First we will calculate the prime factors of 40008 and 40022.

Prime Factorization of 40008

Prime Factorization of 40022

Now multiplying the highest exponent prime factors to calculate the LCM of 40008 and 40022.

LCM(40008,40022) = 2³ × 3¹ × 1667¹ × 20011¹
LCM(40008,40022) = 800600088