What is the Least Common Multiple of 65914 and 65932?

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 65914 and 65932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65914 and 65932, than apply into the LCM equation.

GCF(65914,65932) = 2
LCM(65914,65932) = ( 65914 × 65932) / 2
LCM(65914,65932) = 4345841848 / 2
LCM(65914,65932) = 2172920924

Least Common Multiple (LCM) of 65914 and 65932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65914 and 65932. First we will calculate the prime factors of 65914 and 65932.

Prime Factorization of 65914

Prime Factorization of 65932

Now multiplying the highest exponent prime factors to calculate the LCM of 65914 and 65932.

LCM(65914,65932) = 2² × 32957¹ × 53¹ × 311¹
LCM(65914,65932) = 2172920924