What is the Least Common Multiple of 6789 and 6797?

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 6789 and 6797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6789 and 6797, than apply into the LCM equation.

GCF(6789,6797) = 1
LCM(6789,6797) = ( 6789 × 6797) / 1
LCM(6789,6797) = 46144833 / 1
LCM(6789,6797) = 46144833

Least Common Multiple (LCM) of 6789 and 6797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6789 and 6797. First we will calculate the prime factors of 6789 and 6797.

Prime Factorization of 6789

Prime Factorization of 6797

Now multiplying the highest exponent prime factors to calculate the LCM of 6789 and 6797.

LCM(6789,6797) = 3¹ × 31¹ × 73¹ × 7¹ × 971¹
LCM(6789,6797) = 46144833