GCF and LCM Calculator Logo

What is the Least Common Multiple of 55500 and 55510?

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 55500 and 55510 is 308080500.

LCM(55500,55510) = 308080500

LCM Calculator and
and

Least Common Multiple of 55500 and 55510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55500 and 55510, than apply into the LCM equation.

GCF(55500,55510) = 10
LCM(55500,55510) = ( 55500 × 55510) / 10
LCM(55500,55510) = 3080805000 / 10
LCM(55500,55510) = 308080500

Least Common Multiple (LCM) of 55500 and 55510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55510. First we will calculate the prime factors of 55500 and 55510.

Prime Factorization of 55500

Prime factors of 55500 are 2, 3, 5, 37. Prime factorization of 55500 in exponential form is:

55500 = 22 × 31 × 53 × 371

Prime Factorization of 55510

Prime factors of 55510 are 2, 5, 7, 13, 61. Prime factorization of 55510 in exponential form is:

55510 = 21 × 51 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55510.

LCM(55500,55510) = 22 × 31 × 53 × 371 × 71 × 131 × 611
LCM(55500,55510) = 308080500