What is the Least Common Multiple of 10764 and 10777?

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 10764 and 10777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10764 and 10777, than apply into the LCM equation.

GCF(10764,10777) = 13
LCM(10764,10777) = ( 10764 × 10777) / 13
LCM(10764,10777) = 116003628 / 13
LCM(10764,10777) = 8923356

Least Common Multiple (LCM) of 10764 and 10777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10764 and 10777. First we will calculate the prime factors of 10764 and 10777.

Prime Factorization of 10764

Prime Factorization of 10777

Now multiplying the highest exponent prime factors to calculate the LCM of 10764 and 10777.

LCM(10764,10777) = 2² × 3² × 13¹ × 23¹ × 829¹
LCM(10764,10777) = 8923356