What is the Least Common Multiple of 7764 and 7776?

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 7764 and 7776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7764 and 7776, than apply into the LCM equation.

GCF(7764,7776) = 12
LCM(7764,7776) = ( 7764 × 7776) / 12
LCM(7764,7776) = 60372864 / 12
LCM(7764,7776) = 5031072

Least Common Multiple (LCM) of 7764 and 7776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7764 and 7776. First we will calculate the prime factors of 7764 and 7776.

Prime Factorization of 7764

Prime Factorization of 7776

Now multiplying the highest exponent prime factors to calculate the LCM of 7764 and 7776.

LCM(7764,7776) = 2⁵ × 3⁵ × 647¹
LCM(7764,7776) = 5031072