What is the Least Common Multiple of 10946 and 10966?

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 10946 and 10966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10946 and 10966, than apply into the LCM equation.

GCF(10946,10966) = 2
LCM(10946,10966) = ( 10946 × 10966) / 2
LCM(10946,10966) = 120033836 / 2
LCM(10946,10966) = 60016918

Least Common Multiple (LCM) of 10946 and 10966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10946 and 10966. First we will calculate the prime factors of 10946 and 10966.

Prime Factorization of 10946

Prime Factorization of 10966

Now multiplying the highest exponent prime factors to calculate the LCM of 10946 and 10966.

LCM(10946,10966) = 2¹ × 13¹ × 421¹ × 5483¹
LCM(10946,10966) = 60016918