What is the Least Common Multiple of 78870 and 78881?

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 78870 and 78881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78870 and 78881, than apply into the LCM equation.

GCF(78870,78881) = 11
LCM(78870,78881) = ( 78870 × 78881) / 11
LCM(78870,78881) = 6221344470 / 11
LCM(78870,78881) = 565576770

Least Common Multiple (LCM) of 78870 and 78881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78870 and 78881. First we will calculate the prime factors of 78870 and 78881.

Prime Factorization of 78870

Prime Factorization of 78881

Now multiplying the highest exponent prime factors to calculate the LCM of 78870 and 78881.

LCM(78870,78881) = 2¹ × 3¹ × 5¹ × 11¹ × 239¹ × 71¹ × 101¹
LCM(78870,78881) = 565576770