What is the Least Common Multiple of 6783 and 6801?

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 6783 and 6801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6783 and 6801, than apply into the LCM equation.

GCF(6783,6801) = 3
LCM(6783,6801) = ( 6783 × 6801) / 3
LCM(6783,6801) = 46131183 / 3
LCM(6783,6801) = 15377061

Least Common Multiple (LCM) of 6783 and 6801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6783 and 6801. First we will calculate the prime factors of 6783 and 6801.

Prime Factorization of 6783

Prime Factorization of 6801

Now multiplying the highest exponent prime factors to calculate the LCM of 6783 and 6801.

LCM(6783,6801) = 3¹ × 7¹ × 17¹ × 19¹ × 2267¹
LCM(6783,6801) = 15377061