What is the Least Common Multiple of 7776 and 7785?

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 7785 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 7785, than apply into the LCM equation.

GCF(7776,7785) = 9
LCM(7776,7785) = ( 7776 × 7785) / 9
LCM(7776,7785) = 60536160 / 9
LCM(7776,7785) = 6726240

Least Common Multiple (LCM) of 7776 and 7785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7785. First we will calculate the prime factors of 7776 and 7785.

Prime Factorization of 7776

Prime Factorization of 7785

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7785.

LCM(7776,7785) = 2⁵ × 3⁵ × 5¹ × 173¹
LCM(7776,7785) = 6726240