What is the Least Common Multiple of 55938 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 55938 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 55938 and 55958, than apply into the LCM equation.

GCF(55938,55958) = 2
LCM(55938,55958) = ( 55938 × 55958) / 2
LCM(55938,55958) = 3130178604 / 2
LCM(55938,55958) = 1565089302

Least Common Multiple (LCM) of 55938 and 55958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55938 and 55958. First we will calculate the prime factors of 55938 and 55958.

Prime Factorization of 55938

Prime Factorization of 55958

Now multiplying the highest exponent prime factors to calculate the LCM of 55938 and 55958.

LCM(55938,55958) = 2¹ × 3¹ × 9323¹ × 7² × 571¹
LCM(55938,55958) = 1565089302