What is the Least Common Multiple of 65916 and 65936?

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 65916 and 65936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65916 and 65936, than apply into the LCM equation.

GCF(65916,65936) = 4
LCM(65916,65936) = ( 65916 × 65936) / 4
LCM(65916,65936) = 4346237376 / 4
LCM(65916,65936) = 1086559344

Least Common Multiple (LCM) of 65916 and 65936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65916 and 65936. First we will calculate the prime factors of 65916 and 65936.

Prime Factorization of 65916

Prime Factorization of 65936

Now multiplying the highest exponent prime factors to calculate the LCM of 65916 and 65936.

LCM(65916,65936) = 2⁴ × 3² × 1831¹ × 13¹ × 317¹
LCM(65916,65936) = 1086559344