What is the Least Common Multiple of 8040 and 8045?

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 8040 and 8045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8040 and 8045, than apply into the LCM equation.

GCF(8040,8045) = 5
LCM(8040,8045) = ( 8040 × 8045) / 5
LCM(8040,8045) = 64681800 / 5
LCM(8040,8045) = 12936360

Least Common Multiple (LCM) of 8040 and 8045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8040 and 8045. First we will calculate the prime factors of 8040 and 8045.

Prime Factorization of 8040

Prime Factorization of 8045

Now multiplying the highest exponent prime factors to calculate the LCM of 8040 and 8045.

LCM(8040,8045) = 2³ × 3¹ × 5¹ × 67¹ × 1609¹
LCM(8040,8045) = 12936360