What is the Least Common Multiple of 65936 and 65952?

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 65936 and 65952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65936 and 65952, than apply into the LCM equation.

GCF(65936,65952) = 16
LCM(65936,65952) = ( 65936 × 65952) / 16
LCM(65936,65952) = 4348611072 / 16
LCM(65936,65952) = 271788192

Least Common Multiple (LCM) of 65936 and 65952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65936 and 65952. First we will calculate the prime factors of 65936 and 65952.

Prime Factorization of 65936

Prime Factorization of 65952

Now multiplying the highest exponent prime factors to calculate the LCM of 65936 and 65952.

LCM(65936,65952) = 2⁵ × 13¹ × 317¹ × 3² × 229¹
LCM(65936,65952) = 271788192