GCF and LCM Calculator Logo

What is the Least Common Multiple of 55242 and 55255?

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 55242 and 55255 is 3052396710.

LCM(55242,55255) = 3052396710

LCM Calculator and
and

Least Common Multiple of 55242 and 55255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55242 and 55255, than apply into the LCM equation.

GCF(55242,55255) = 1
LCM(55242,55255) = ( 55242 × 55255) / 1
LCM(55242,55255) = 3052396710 / 1
LCM(55242,55255) = 3052396710

Least Common Multiple (LCM) of 55242 and 55255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55242 and 55255. First we will calculate the prime factors of 55242 and 55255.

Prime Factorization of 55242

Prime factors of 55242 are 2, 3, 11, 31. Prime factorization of 55242 in exponential form is:

55242 = 21 × 34 × 111 × 311

Prime Factorization of 55255

Prime factors of 55255 are 5, 43, 257. Prime factorization of 55255 in exponential form is:

55255 = 51 × 431 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 55242 and 55255.

LCM(55242,55255) = 21 × 34 × 111 × 311 × 51 × 431 × 2571
LCM(55242,55255) = 3052396710