What is the Least Common Multiple of 65767 and 65783?

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 65767 and 65783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65767 and 65783, than apply into the LCM equation.

GCF(65767,65783) = 1
LCM(65767,65783) = ( 65767 × 65783) / 1
LCM(65767,65783) = 4326350561 / 1
LCM(65767,65783) = 4326350561

Least Common Multiple (LCM) of 65767 and 65783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65767 and 65783. First we will calculate the prime factors of 65767 and 65783.

Prime Factorization of 65767

Prime Factorization of 65783

Now multiplying the highest exponent prime factors to calculate the LCM of 65767 and 65783.

LCM(65767,65783) = 13¹ × 5059¹ × 157¹ × 419¹
LCM(65767,65783) = 4326350561