What is the Least Common Multiple of 83045 and 83051?

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 83045 and 83051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83045 and 83051, than apply into the LCM equation.

GCF(83045,83051) = 1
LCM(83045,83051) = ( 83045 × 83051) / 1
LCM(83045,83051) = 6896970295 / 1
LCM(83045,83051) = 6896970295

Least Common Multiple (LCM) of 83045 and 83051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83045 and 83051. First we will calculate the prime factors of 83045 and 83051.

Prime Factorization of 83045

Prime Factorization of 83051

Now multiplying the highest exponent prime factors to calculate the LCM of 83045 and 83051.

LCM(83045,83051) = 5¹ × 17¹ × 977¹ × 53¹ × 1567¹
LCM(83045,83051) = 6896970295