What is the Least Common Multiple of 55944 and 55958?

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 55944 and 55958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55944 and 55958, than apply into the LCM equation.

GCF(55944,55958) = 14
LCM(55944,55958) = ( 55944 × 55958) / 14
LCM(55944,55958) = 3130514352 / 14
LCM(55944,55958) = 223608168

Least Common Multiple (LCM) of 55944 and 55958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55944 and 55958. First we will calculate the prime factors of 55944 and 55958.

Prime Factorization of 55944

Prime Factorization of 55958

Now multiplying the highest exponent prime factors to calculate the LCM of 55944 and 55958.

LCM(55944,55958) = 2³ × 3³ × 7² × 37¹ × 571¹
LCM(55944,55958) = 223608168