What is the Least Common Multiple of 6939 and 6947?

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 6939 and 6947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6939 and 6947, than apply into the LCM equation.

GCF(6939,6947) = 1
LCM(6939,6947) = ( 6939 × 6947) / 1
LCM(6939,6947) = 48205233 / 1
LCM(6939,6947) = 48205233

Least Common Multiple (LCM) of 6939 and 6947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6939 and 6947. First we will calculate the prime factors of 6939 and 6947.

Prime Factorization of 6939

Prime Factorization of 6947

Now multiplying the highest exponent prime factors to calculate the LCM of 6939 and 6947.

LCM(6939,6947) = 3³ × 257¹ × 6947¹
LCM(6939,6947) = 48205233