GCF and LCM Calculator Logo

What is the Least Common Multiple of 55188 and 55205?

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 55188 and 55205 is 3046653540.

LCM(55188,55205) = 3046653540

LCM Calculator and
and

Least Common Multiple of 55188 and 55205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55188 and 55205, than apply into the LCM equation.

GCF(55188,55205) = 1
LCM(55188,55205) = ( 55188 × 55205) / 1
LCM(55188,55205) = 3046653540 / 1
LCM(55188,55205) = 3046653540

Least Common Multiple (LCM) of 55188 and 55205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55188 and 55205. First we will calculate the prime factors of 55188 and 55205.

Prime Factorization of 55188

Prime factors of 55188 are 2, 3, 7, 73. Prime factorization of 55188 in exponential form is:

55188 = 22 × 33 × 71 × 731

Prime Factorization of 55205

Prime factors of 55205 are 5, 61, 181. Prime factorization of 55205 in exponential form is:

55205 = 51 × 611 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 55188 and 55205.

LCM(55188,55205) = 22 × 33 × 71 × 731 × 51 × 611 × 1811
LCM(55188,55205) = 3046653540