What is the Least Common Multiple of 80870 and 80881?

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 80870 and 80881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80870 and 80881, than apply into the LCM equation.

GCF(80870,80881) = 1
LCM(80870,80881) = ( 80870 × 80881) / 1
LCM(80870,80881) = 6540846470 / 1
LCM(80870,80881) = 6540846470

Least Common Multiple (LCM) of 80870 and 80881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80870 and 80881. First we will calculate the prime factors of 80870 and 80881.

Prime Factorization of 80870

Prime Factorization of 80881

Now multiplying the highest exponent prime factors to calculate the LCM of 80870 and 80881.

LCM(80870,80881) = 2¹ × 5¹ × 8087¹ × 29¹ × 2789¹
LCM(80870,80881) = 6540846470