What is the Least Common Multiple of 30870 and 30878?

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 30870 and 30878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30870 and 30878, than apply into the LCM equation.

GCF(30870,30878) = 2
LCM(30870,30878) = ( 30870 × 30878) / 2
LCM(30870,30878) = 953203860 / 2
LCM(30870,30878) = 476601930

Least Common Multiple (LCM) of 30870 and 30878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30870 and 30878. First we will calculate the prime factors of 30870 and 30878.

Prime Factorization of 30870

Prime Factorization of 30878

Now multiplying the highest exponent prime factors to calculate the LCM of 30870 and 30878.

LCM(30870,30878) = 2¹ × 3² × 5¹ × 7³ × 15439¹
LCM(30870,30878) = 476601930