What is the Least Common Multiple of 65854 and 65872?

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 65854 and 65872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65854 and 65872, than apply into the LCM equation.

GCF(65854,65872) = 2
LCM(65854,65872) = ( 65854 × 65872) / 2
LCM(65854,65872) = 4337934688 / 2
LCM(65854,65872) = 2168967344

Least Common Multiple (LCM) of 65854 and 65872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65854 and 65872. First we will calculate the prime factors of 65854 and 65872.

Prime Factorization of 65854

Prime Factorization of 65872

Now multiplying the highest exponent prime factors to calculate the LCM of 65854 and 65872.

LCM(65854,65872) = 2⁴ × 19¹ × 1733¹ × 23¹ × 179¹
LCM(65854,65872) = 2168967344