What is the Least Common Multiple of 78870 and 78888?

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 78888 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 78888, than apply into the LCM equation.

GCF(78870,78888) = 6
LCM(78870,78888) = ( 78870 × 78888) / 6
LCM(78870,78888) = 6221896560 / 6
LCM(78870,78888) = 1036982760

Least Common Multiple (LCM) of 78870 and 78888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78870 and 78888. First we will calculate the prime factors of 78870 and 78888.

Prime Factorization of 78870

Prime Factorization of 78888

Now multiplying the highest exponent prime factors to calculate the LCM of 78870 and 78888.

LCM(78870,78888) = 2³ × 3¹ × 5¹ × 11¹ × 239¹ × 19¹ × 173¹
LCM(78870,78888) = 1036982760