What is the Least Common Multiple of 10776 and 10788?

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 10776 and 10788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10776 and 10788, than apply into the LCM equation.

GCF(10776,10788) = 12
LCM(10776,10788) = ( 10776 × 10788) / 12
LCM(10776,10788) = 116251488 / 12
LCM(10776,10788) = 9687624

Least Common Multiple (LCM) of 10776 and 10788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10776 and 10788. First we will calculate the prime factors of 10776 and 10788.

Prime Factorization of 10776

Prime Factorization of 10788

Now multiplying the highest exponent prime factors to calculate the LCM of 10776 and 10788.

LCM(10776,10788) = 2³ × 3¹ × 449¹ × 29¹ × 31¹
LCM(10776,10788) = 9687624