What is the Least Common Multiple of 6909 and 6913?

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 6913 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 6913, than apply into the LCM equation.

GCF(6909,6913) = 1
LCM(6909,6913) = ( 6909 × 6913) / 1
LCM(6909,6913) = 47761917 / 1
LCM(6909,6913) = 47761917

Least Common Multiple (LCM) of 6909 and 6913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6913. First we will calculate the prime factors of 6909 and 6913.

Prime Factorization of 6909

Prime Factorization of 6913

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6913.

LCM(6909,6913) = 3¹ × 7² × 47¹ × 31¹ × 223¹
LCM(6909,6913) = 47761917