What is the Least Common Multiple of 7776 and 7791?

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 7776 and 7791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7776 and 7791, than apply into the LCM equation.

GCF(7776,7791) = 3
LCM(7776,7791) = ( 7776 × 7791) / 3
LCM(7776,7791) = 60582816 / 3
LCM(7776,7791) = 20194272

Least Common Multiple (LCM) of 7776 and 7791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7791. First we will calculate the prime factors of 7776 and 7791.

Prime Factorization of 7776

Prime Factorization of 7791

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7791.

LCM(7776,7791) = 2⁵ × 3⁵ × 7² × 53¹
LCM(7776,7791) = 20194272