What is the Least Common Multiple of 80851 and 80857?

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 80851 and 80857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80851 and 80857, than apply into the LCM equation.

GCF(80851,80857) = 1
LCM(80851,80857) = ( 80851 × 80857) / 1
LCM(80851,80857) = 6537369307 / 1
LCM(80851,80857) = 6537369307

Least Common Multiple (LCM) of 80851 and 80857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80851 and 80857. First we will calculate the prime factors of 80851 and 80857.

Prime Factorization of 80851

Prime Factorization of 80857

Now multiplying the highest exponent prime factors to calculate the LCM of 80851 and 80857.

LCM(80851,80857) = 233¹ × 347¹ × 7¹ × 11551¹
LCM(80851,80857) = 6537369307