What is the Least Common Multiple of 65872 and 65878?

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 65872 and 65878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65872 and 65878, than apply into the LCM equation.

GCF(65872,65878) = 2
LCM(65872,65878) = ( 65872 × 65878) / 2
LCM(65872,65878) = 4339515616 / 2
LCM(65872,65878) = 2169757808

Least Common Multiple (LCM) of 65872 and 65878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65872 and 65878. First we will calculate the prime factors of 65872 and 65878.

Prime Factorization of 65872

Prime Factorization of 65878

Now multiplying the highest exponent prime factors to calculate the LCM of 65872 and 65878.

LCM(65872,65878) = 2⁴ × 23¹ × 179¹ × 32939¹
LCM(65872,65878) = 2169757808