What is the Least Common Multiple of 78855 and 78870?

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 78855 and 78870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78855 and 78870, than apply into the LCM equation.

GCF(78855,78870) = 15
LCM(78855,78870) = ( 78855 × 78870) / 15
LCM(78855,78870) = 6219293850 / 15
LCM(78855,78870) = 414619590

Least Common Multiple (LCM) of 78855 and 78870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78855 and 78870. First we will calculate the prime factors of 78855 and 78870.

Prime Factorization of 78855

Prime Factorization of 78870

Now multiplying the highest exponent prime factors to calculate the LCM of 78855 and 78870.

LCM(78855,78870) = 3¹ × 5¹ × 7¹ × 751¹ × 2¹ × 11¹ × 239¹
LCM(78855,78870) = 414619590