GCF and LCM Calculator Logo

What is the Least Common Multiple of 55445 and 55457?

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 55445 and 55457 is 3074813365.

LCM(55445,55457) = 3074813365

LCM Calculator and
and

Least Common Multiple of 55445 and 55457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55445 and 55457, than apply into the LCM equation.

GCF(55445,55457) = 1
LCM(55445,55457) = ( 55445 × 55457) / 1
LCM(55445,55457) = 3074813365 / 1
LCM(55445,55457) = 3074813365

Least Common Multiple (LCM) of 55445 and 55457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55445 and 55457. First we will calculate the prime factors of 55445 and 55457.

Prime Factorization of 55445

Prime factors of 55445 are 5, 13, 853. Prime factorization of 55445 in exponential form is:

55445 = 51 × 131 × 8531

Prime Factorization of 55457

Prime factors of 55457 are 55457. Prime factorization of 55457 in exponential form is:

55457 = 554571

Now multiplying the highest exponent prime factors to calculate the LCM of 55445 and 55457.

LCM(55445,55457) = 51 × 131 × 8531 × 554571
LCM(55445,55457) = 3074813365