What is the Least Common Multiple of 12765 and 12783?

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 12765 and 12783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12765 and 12783, than apply into the LCM equation.

GCF(12765,12783) = 3
LCM(12765,12783) = ( 12765 × 12783) / 3
LCM(12765,12783) = 163174995 / 3
LCM(12765,12783) = 54391665

Least Common Multiple (LCM) of 12765 and 12783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12765 and 12783. First we will calculate the prime factors of 12765 and 12783.

Prime Factorization of 12765

Prime Factorization of 12783

Now multiplying the highest exponent prime factors to calculate the LCM of 12765 and 12783.

LCM(12765,12783) = 3¹ × 5¹ × 23¹ × 37¹ × 4261¹
LCM(12765,12783) = 54391665