What is the Least Common Multiple of 6909 and 6916?

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 6909 and 6916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6909 and 6916, than apply into the LCM equation.

GCF(6909,6916) = 7
LCM(6909,6916) = ( 6909 × 6916) / 7
LCM(6909,6916) = 47782644 / 7
LCM(6909,6916) = 6826092

Least Common Multiple (LCM) of 6909 and 6916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6916. First we will calculate the prime factors of 6909 and 6916.

Prime Factorization of 6909

Prime Factorization of 6916

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6916.

LCM(6909,6916) = 3¹ × 7² × 47¹ × 2² × 13¹ × 19¹
LCM(6909,6916) = 6826092