What is the Least Common Multiple of 71872 and 71878?

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 71872 and 71878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71872 and 71878, than apply into the LCM equation.

GCF(71872,71878) = 2
LCM(71872,71878) = ( 71872 × 71878) / 2
LCM(71872,71878) = 5166015616 / 2
LCM(71872,71878) = 2583007808

Least Common Multiple (LCM) of 71872 and 71878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71872 and 71878. First we will calculate the prime factors of 71872 and 71878.

Prime Factorization of 71872

Prime Factorization of 71878

Now multiplying the highest exponent prime factors to calculate the LCM of 71872 and 71878.

LCM(71872,71878) = 2⁶ × 1123¹ × 83¹ × 433¹
LCM(71872,71878) = 2583007808