What is the Least Common Multiple of 55946 and 55950?

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 55950 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 55950, than apply into the LCM equation.

GCF(55946,55950) = 2
LCM(55946,55950) = ( 55946 × 55950) / 2
LCM(55946,55950) = 3130178700 / 2
LCM(55946,55950) = 1565089350

Least Common Multiple (LCM) of 55946 and 55950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55946 and 55950. First we will calculate the prime factors of 55946 and 55950.

Prime Factorization of 55946

Prime Factorization of 55950

Now multiplying the highest exponent prime factors to calculate the LCM of 55946 and 55950.

LCM(55946,55950) = 2¹ × 11¹ × 2543¹ × 3¹ × 5² × 373¹
LCM(55946,55950) = 1565089350