What is the Least Common Multiple of 13768 and 13786?

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 13768 and 13786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13768 and 13786, than apply into the LCM equation.

GCF(13768,13786) = 2
LCM(13768,13786) = ( 13768 × 13786) / 2
LCM(13768,13786) = 189805648 / 2
LCM(13768,13786) = 94902824

Least Common Multiple (LCM) of 13768 and 13786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13768 and 13786. First we will calculate the prime factors of 13768 and 13786.

Prime Factorization of 13768

Prime Factorization of 13786

Now multiplying the highest exponent prime factors to calculate the LCM of 13768 and 13786.

LCM(13768,13786) = 2³ × 1721¹ × 61¹ × 113¹
LCM(13768,13786) = 94902824