What is the Least Common Multiple of 6894 and 6900?

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 6894 and 6900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6894 and 6900, than apply into the LCM equation.

GCF(6894,6900) = 6
LCM(6894,6900) = ( 6894 × 6900) / 6
LCM(6894,6900) = 47568600 / 6
LCM(6894,6900) = 7928100

Least Common Multiple (LCM) of 6894 and 6900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6894 and 6900. First we will calculate the prime factors of 6894 and 6900.

Prime Factorization of 6894

Prime Factorization of 6900

Now multiplying the highest exponent prime factors to calculate the LCM of 6894 and 6900.

LCM(6894,6900) = 2² × 3² × 383¹ × 5² × 23¹
LCM(6894,6900) = 7928100