What is the Least Common Multiple of 13776 and 13796?

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 13796 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 13796, than apply into the LCM equation.

GCF(13776,13796) = 4
LCM(13776,13796) = ( 13776 × 13796) / 4
LCM(13776,13796) = 190053696 / 4
LCM(13776,13796) = 47513424

Least Common Multiple (LCM) of 13776 and 13796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13776 and 13796. First we will calculate the prime factors of 13776 and 13796.

Prime Factorization of 13776

Prime Factorization of 13796

Now multiplying the highest exponent prime factors to calculate the LCM of 13776 and 13796.

LCM(13776,13796) = 2⁴ × 3¹ × 7¹ × 41¹ × 3449¹
LCM(13776,13796) = 47513424