What is the Least Common Multiple of 13772 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 13772 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 13772 and 13786, than apply into the LCM equation.

GCF(13772,13786) = 2
LCM(13772,13786) = ( 13772 × 13786) / 2
LCM(13772,13786) = 189860792 / 2
LCM(13772,13786) = 94930396

Least Common Multiple (LCM) of 13772 and 13786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13772 and 13786. First we will calculate the prime factors of 13772 and 13786.

Prime Factorization of 13772

Prime Factorization of 13786

Now multiplying the highest exponent prime factors to calculate the LCM of 13772 and 13786.

LCM(13772,13786) = 2² × 11¹ × 313¹ × 61¹ × 113¹
LCM(13772,13786) = 94930396