What is the Least Common Multiple of 65872 and 65891?

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 65891 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 65891, than apply into the LCM equation.

GCF(65872,65891) = 1
LCM(65872,65891) = ( 65872 × 65891) / 1
LCM(65872,65891) = 4340371952 / 1
LCM(65872,65891) = 4340371952

Least Common Multiple (LCM) of 65872 and 65891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65872 and 65891. First we will calculate the prime factors of 65872 and 65891.

Prime Factorization of 65872

Prime Factorization of 65891

Now multiplying the highest exponent prime factors to calculate the LCM of 65872 and 65891.

LCM(65872,65891) = 2⁴ × 23¹ × 179¹ × 7¹ × 9413¹
LCM(65872,65891) = 4340371952