What is the Least Common Multiple of 83040 and 83045?

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 83040 and 83045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83040 and 83045, than apply into the LCM equation.

GCF(83040,83045) = 5
LCM(83040,83045) = ( 83040 × 83045) / 5
LCM(83040,83045) = 6896056800 / 5
LCM(83040,83045) = 1379211360

Least Common Multiple (LCM) of 83040 and 83045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83040 and 83045. First we will calculate the prime factors of 83040 and 83045.

Prime Factorization of 83040

Prime Factorization of 83045

Now multiplying the highest exponent prime factors to calculate the LCM of 83040 and 83045.

LCM(83040,83045) = 2⁵ × 3¹ × 5¹ × 173¹ × 17¹ × 977¹
LCM(83040,83045) = 1379211360