What is the Least Common Multiple of 83065 and 83071?

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 83071 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 83071, than apply into the LCM equation.

GCF(83065,83071) = 1
LCM(83065,83071) = ( 83065 × 83071) / 1
LCM(83065,83071) = 6900292615 / 1
LCM(83065,83071) = 6900292615

Least Common Multiple (LCM) of 83065 and 83071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83065 and 83071. First we will calculate the prime factors of 83065 and 83071.

Prime Factorization of 83065

Prime Factorization of 83071

Now multiplying the highest exponent prime factors to calculate the LCM of 83065 and 83071.

LCM(83065,83071) = 5¹ × 37¹ × 449¹ × 83071¹
LCM(83065,83071) = 6900292615