GCF and LCM Calculator Logo

What is the Least Common Multiple of 55565 and 55574?

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 55565 and 55574 is 3087969310.

LCM(55565,55574) = 3087969310

LCM Calculator and
and

Least Common Multiple of 55565 and 55574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55565 and 55574, than apply into the LCM equation.

GCF(55565,55574) = 1
LCM(55565,55574) = ( 55565 × 55574) / 1
LCM(55565,55574) = 3087969310 / 1
LCM(55565,55574) = 3087969310

Least Common Multiple (LCM) of 55565 and 55574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55565 and 55574. First we will calculate the prime factors of 55565 and 55574.

Prime Factorization of 55565

Prime factors of 55565 are 5, 11113. Prime factorization of 55565 in exponential form is:

55565 = 51 × 111131

Prime Factorization of 55574

Prime factors of 55574 are 2, 37, 751. Prime factorization of 55574 in exponential form is:

55574 = 21 × 371 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 55565 and 55574.

LCM(55565,55574) = 51 × 111131 × 21 × 371 × 7511
LCM(55565,55574) = 3087969310