What is the Least Common Multiple of 32009 and 32022?

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 32009 and 32022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32009 and 32022, than apply into the LCM equation.

GCF(32009,32022) = 1
LCM(32009,32022) = ( 32009 × 32022) / 1
LCM(32009,32022) = 1024992198 / 1
LCM(32009,32022) = 1024992198

Least Common Multiple (LCM) of 32009 and 32022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32009 and 32022. First we will calculate the prime factors of 32009 and 32022.

Prime Factorization of 32009

Prime Factorization of 32022

Now multiplying the highest exponent prime factors to calculate the LCM of 32009 and 32022.

LCM(32009,32022) = 32009¹ × 2¹ × 3³ × 593¹
LCM(32009,32022) = 1024992198