What is the Least Common Multiple of 55908 and 55923?

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 55908 and 55923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55908 and 55923, than apply into the LCM equation.

GCF(55908,55923) = 3
LCM(55908,55923) = ( 55908 × 55923) / 3
LCM(55908,55923) = 3126543084 / 3
LCM(55908,55923) = 1042181028

Least Common Multiple (LCM) of 55908 and 55923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55908 and 55923. First we will calculate the prime factors of 55908 and 55923.

Prime Factorization of 55908

Prime Factorization of 55923

Now multiplying the highest exponent prime factors to calculate the LCM of 55908 and 55923.

LCM(55908,55923) = 2² × 3² × 1553¹ × 7¹ × 2663¹
LCM(55908,55923) = 1042181028