What is the Least Common Multiple of 10906 and 10913?

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 10906 and 10913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10906 and 10913, than apply into the LCM equation.

GCF(10906,10913) = 7
LCM(10906,10913) = ( 10906 × 10913) / 7
LCM(10906,10913) = 119017178 / 7
LCM(10906,10913) = 17002454

Least Common Multiple (LCM) of 10906 and 10913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10906 and 10913. First we will calculate the prime factors of 10906 and 10913.

Prime Factorization of 10906

Prime Factorization of 10913

Now multiplying the highest exponent prime factors to calculate the LCM of 10906 and 10913.

LCM(10906,10913) = 2¹ × 7¹ × 19¹ × 41¹ × 1559¹
LCM(10906,10913) = 17002454