What is the Least Common Multiple of 32009 and 32024?

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 32024 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 32024, than apply into the LCM equation.

GCF(32009,32024) = 1
LCM(32009,32024) = ( 32009 × 32024) / 1
LCM(32009,32024) = 1025056216 / 1
LCM(32009,32024) = 1025056216

Least Common Multiple (LCM) of 32009 and 32024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32009 and 32024. First we will calculate the prime factors of 32009 and 32024.

Prime Factorization of 32009

Prime Factorization of 32024

Now multiplying the highest exponent prime factors to calculate the LCM of 32009 and 32024.

LCM(32009,32024) = 32009¹ × 2³ × 4003¹
LCM(32009,32024) = 1025056216