What is the Least Common Multiple of 13787 and 13793?

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 13787 and 13793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13787 and 13793, than apply into the LCM equation.

GCF(13787,13793) = 1
LCM(13787,13793) = ( 13787 × 13793) / 1
LCM(13787,13793) = 190164091 / 1
LCM(13787,13793) = 190164091

Least Common Multiple (LCM) of 13787 and 13793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13787 and 13793. First we will calculate the prime factors of 13787 and 13793.

Prime Factorization of 13787

Prime Factorization of 13793

Now multiplying the highest exponent prime factors to calculate the LCM of 13787 and 13793.

LCM(13787,13793) = 17¹ × 811¹ × 13¹ × 1061¹
LCM(13787,13793) = 190164091