What is the Least Common Multiple of 55946 and 55966?

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 55946 and 55966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55946 and 55966, than apply into the LCM equation.

GCF(55946,55966) = 2
LCM(55946,55966) = ( 55946 × 55966) / 2
LCM(55946,55966) = 3131073836 / 2
LCM(55946,55966) = 1565536918

Least Common Multiple (LCM) of 55946 and 55966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55946 and 55966. First we will calculate the prime factors of 55946 and 55966.

Prime Factorization of 55946

Prime Factorization of 55966

Now multiplying the highest exponent prime factors to calculate the LCM of 55946 and 55966.

LCM(55946,55966) = 2¹ × 11¹ × 2543¹ × 27983¹
LCM(55946,55966) = 1565536918