What is the Least Common Multiple of 7782 and 7797?

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 7782 and 7797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7782 and 7797, than apply into the LCM equation.

GCF(7782,7797) = 3
LCM(7782,7797) = ( 7782 × 7797) / 3
LCM(7782,7797) = 60676254 / 3
LCM(7782,7797) = 20225418

Least Common Multiple (LCM) of 7782 and 7797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7782 and 7797. First we will calculate the prime factors of 7782 and 7797.

Prime Factorization of 7782

Prime Factorization of 7797

Now multiplying the highest exponent prime factors to calculate the LCM of 7782 and 7797.

LCM(7782,7797) = 2¹ × 3¹ × 1297¹ × 23¹ × 113¹
LCM(7782,7797) = 20225418