What is the Least Common Multiple of 13752 and 13772?

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 13752 and 13772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13752 and 13772, than apply into the LCM equation.

GCF(13752,13772) = 4
LCM(13752,13772) = ( 13752 × 13772) / 4
LCM(13752,13772) = 189392544 / 4
LCM(13752,13772) = 47348136

Least Common Multiple (LCM) of 13752 and 13772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13752 and 13772. First we will calculate the prime factors of 13752 and 13772.

Prime Factorization of 13752

Prime Factorization of 13772

Now multiplying the highest exponent prime factors to calculate the LCM of 13752 and 13772.

LCM(13752,13772) = 2³ × 3² × 191¹ × 11¹ × 313¹
LCM(13752,13772) = 47348136