GCF and LCM Calculator Logo

What is the Least Common Multiple of 55189 and 55207?

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 55189 and 55207 is 3046819123.

LCM(55189,55207) = 3046819123

LCM Calculator and
and

Least Common Multiple of 55189 and 55207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55189 and 55207, than apply into the LCM equation.

GCF(55189,55207) = 1
LCM(55189,55207) = ( 55189 × 55207) / 1
LCM(55189,55207) = 3046819123 / 1
LCM(55189,55207) = 3046819123

Least Common Multiple (LCM) of 55189 and 55207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55189 and 55207. First we will calculate the prime factors of 55189 and 55207.

Prime Factorization of 55189

Prime factors of 55189 are 229, 241. Prime factorization of 55189 in exponential form is:

55189 = 2291 × 2411

Prime Factorization of 55207

Prime factors of 55207 are 55207. Prime factorization of 55207 in exponential form is:

55207 = 552071

Now multiplying the highest exponent prime factors to calculate the LCM of 55189 and 55207.

LCM(55189,55207) = 2291 × 2411 × 552071
LCM(55189,55207) = 3046819123