GCF and LCM Calculator Logo

What is the Least Common Multiple of 55910 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 (LCM) of 55910 and 55923 is 3126654930.

LCM(55910,55923) = 3126654930

LCM Calculator and
and

Least Common Multiple of 55910 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 55910 and 55923, than apply into the LCM equation.

GCF(55910,55923) = 1
LCM(55910,55923) = ( 55910 × 55923) / 1
LCM(55910,55923) = 3126654930 / 1
LCM(55910,55923) = 3126654930

Least Common Multiple (LCM) of 55910 and 55923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55910 and 55923. First we will calculate the prime factors of 55910 and 55923.

Prime Factorization of 55910

Prime factors of 55910 are 2, 5, 5591. Prime factorization of 55910 in exponential form is:

55910 = 21 × 51 × 55911

Prime Factorization of 55923

Prime factors of 55923 are 3, 7, 2663. Prime factorization of 55923 in exponential form is:

55923 = 31 × 71 × 26631

Now multiplying the highest exponent prime factors to calculate the LCM of 55910 and 55923.

LCM(55910,55923) = 21 × 51 × 55911 × 31 × 71 × 26631
LCM(55910,55923) = 3126654930