What is the Least Common Multiple of 79874 and 79878?

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 79874 and 79878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79874 and 79878, than apply into the LCM equation.

GCF(79874,79878) = 2
LCM(79874,79878) = ( 79874 × 79878) / 2
LCM(79874,79878) = 6380175372 / 2
LCM(79874,79878) = 3190087686

Least Common Multiple (LCM) of 79874 and 79878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79874 and 79878. First we will calculate the prime factors of 79874 and 79878.

Prime Factorization of 79874

Prime Factorization of 79878

Now multiplying the highest exponent prime factors to calculate the LCM of 79874 and 79878.

LCM(79874,79878) = 2¹ × 39937¹ × 3¹ × 13313¹
LCM(79874,79878) = 3190087686