GCF and LCM Calculator Logo

What is the Least Common Multiple of 8009 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 (LCM) of 8009 and 8024 is 64264216.

LCM(8009,8024) = 64264216

LCM Calculator and
and

Least Common Multiple of 8009 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 8009 and 8024, than apply into the LCM equation.

GCF(8009,8024) = 1
LCM(8009,8024) = ( 8009 × 8024) / 1
LCM(8009,8024) = 64264216 / 1
LCM(8009,8024) = 64264216

Least Common Multiple (LCM) of 8009 and 8024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8009 and 8024. First we will calculate the prime factors of 8009 and 8024.

Prime Factorization of 8009

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 80091

Prime Factorization of 8024

Prime factors of 8024 are 2, 17, 59. Prime factorization of 8024 in exponential form is:

8024 = 23 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8009 and 8024.

LCM(8009,8024) = 80091 × 23 × 171 × 591
LCM(8009,8024) = 64264216