What is the Least Common Multiple of 13776 and 13781?

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 13776 and 13781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13776 and 13781, than apply into the LCM equation.

GCF(13776,13781) = 1
LCM(13776,13781) = ( 13776 × 13781) / 1
LCM(13776,13781) = 189847056 / 1
LCM(13776,13781) = 189847056

Least Common Multiple (LCM) of 13776 and 13781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13776 and 13781. First we will calculate the prime factors of 13776 and 13781.

Prime Factorization of 13776

Prime Factorization of 13781

Now multiplying the highest exponent prime factors to calculate the LCM of 13776 and 13781.

LCM(13776,13781) = 2⁴ × 3¹ × 7¹ × 41¹ × 13781¹
LCM(13776,13781) = 189847056