What is the Least Common Multiple of 10939 and 10946?

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 10939 and 10946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10939 and 10946, than apply into the LCM equation.

GCF(10939,10946) = 1
LCM(10939,10946) = ( 10939 × 10946) / 1
LCM(10939,10946) = 119738294 / 1
LCM(10939,10946) = 119738294

Least Common Multiple (LCM) of 10939 and 10946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10939 and 10946. First we will calculate the prime factors of 10939 and 10946.

Prime Factorization of 10939

Prime Factorization of 10946

Now multiplying the highest exponent prime factors to calculate the LCM of 10939 and 10946.

LCM(10939,10946) = 10939¹ × 2¹ × 13¹ × 421¹
LCM(10939,10946) = 119738294