What is the Least Common Multiple of 76791 and 76797?

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 76791 and 76797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76791 and 76797, than apply into the LCM equation.

GCF(76791,76797) = 3
LCM(76791,76797) = ( 76791 × 76797) / 3
LCM(76791,76797) = 5897318427 / 3
LCM(76791,76797) = 1965772809

Least Common Multiple (LCM) of 76791 and 76797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76791 and 76797. First we will calculate the prime factors of 76791 and 76797.

Prime Factorization of 76791

Prime Factorization of 76797

Now multiplying the highest exponent prime factors to calculate the LCM of 76791 and 76797.

LCM(76791,76797) = 3² × 11¹ × 13¹ × 179¹ × 7¹ × 23¹ × 53¹
LCM(76791,76797) = 1965772809