What is the Least Common Multiple of 8007 and 8024?

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 8007 and 8024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8007 and 8024, than apply into the LCM equation.

GCF(8007,8024) = 17
LCM(8007,8024) = ( 8007 × 8024) / 17
LCM(8007,8024) = 64248168 / 17
LCM(8007,8024) = 3779304

Least Common Multiple (LCM) of 8007 and 8024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8007 and 8024. First we will calculate the prime factors of 8007 and 8024.

Prime Factorization of 8007

Prime Factorization of 8024

Now multiplying the highest exponent prime factors to calculate the LCM of 8007 and 8024.

LCM(8007,8024) = 3¹ × 17¹ × 157¹ × 2³ × 59¹
LCM(8007,8024) = 3779304