What is the Least Common Multiple of 65782 and 65788?

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 65782 and 65788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65782 and 65788, than apply into the LCM equation.

GCF(65782,65788) = 2
LCM(65782,65788) = ( 65782 × 65788) / 2
LCM(65782,65788) = 4327666216 / 2
LCM(65782,65788) = 2163833108

Least Common Multiple (LCM) of 65782 and 65788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65782 and 65788. First we will calculate the prime factors of 65782 and 65788.

Prime Factorization of 65782

Prime Factorization of 65788

Now multiplying the highest exponent prime factors to calculate the LCM of 65782 and 65788.

LCM(65782,65788) = 2² × 31¹ × 1061¹ × 16447¹
LCM(65782,65788) = 2163833108