What is the Least Common Multiple of 79878 and 79887?

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 79878 and 79887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79878 and 79887, than apply into the LCM equation.

GCF(79878,79887) = 3
LCM(79878,79887) = ( 79878 × 79887) / 3
LCM(79878,79887) = 6381213786 / 3
LCM(79878,79887) = 2127071262

Least Common Multiple (LCM) of 79878 and 79887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79878 and 79887. First we will calculate the prime factors of 79878 and 79887.

Prime Factorization of 79878

Prime Factorization of 79887

Now multiplying the highest exponent prime factors to calculate the LCM of 79878 and 79887.

LCM(79878,79887) = 2¹ × 3¹ × 13313¹ × 31¹ × 859¹
LCM(79878,79887) = 2127071262