What is the Least Common Multiple of 83065 and 83075?

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 83065 and 83075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83065 and 83075, than apply into the LCM equation.

GCF(83065,83075) = 5
LCM(83065,83075) = ( 83065 × 83075) / 5
LCM(83065,83075) = 6900624875 / 5
LCM(83065,83075) = 1380124975

Least Common Multiple (LCM) of 83065 and 83075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83065 and 83075. First we will calculate the prime factors of 83065 and 83075.

Prime Factorization of 83065

Prime Factorization of 83075

Now multiplying the highest exponent prime factors to calculate the LCM of 83065 and 83075.

LCM(83065,83075) = 5² × 37¹ × 449¹ × 3323¹
LCM(83065,83075) = 1380124975