What is the Least Common Multiple of 78867 and 78879?

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 78867 and 78879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78867 and 78879, than apply into the LCM equation.

GCF(78867,78879) = 3
LCM(78867,78879) = ( 78867 × 78879) / 3
LCM(78867,78879) = 6220950093 / 3
LCM(78867,78879) = 2073650031

Least Common Multiple (LCM) of 78867 and 78879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78867 and 78879. First we will calculate the prime factors of 78867 and 78879.

Prime Factorization of 78867

Prime Factorization of 78879

Now multiplying the highest exponent prime factors to calculate the LCM of 78867 and 78879.

LCM(78867,78879) = 3³ × 23¹ × 127¹ × 26293¹
LCM(78867,78879) = 2073650031