GCF and LCM Calculator Logo

What is the Least Common Multiple of 55698 and 55716?

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 55698 and 55716 is 517211628.

LCM(55698,55716) = 517211628

LCM Calculator and
and

Least Common Multiple of 55698 and 55716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55698 and 55716, than apply into the LCM equation.

GCF(55698,55716) = 6
LCM(55698,55716) = ( 55698 × 55716) / 6
LCM(55698,55716) = 3103269768 / 6
LCM(55698,55716) = 517211628

Least Common Multiple (LCM) of 55698 and 55716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55698 and 55716. First we will calculate the prime factors of 55698 and 55716.

Prime Factorization of 55698

Prime factors of 55698 are 2, 3, 9283. Prime factorization of 55698 in exponential form is:

55698 = 21 × 31 × 92831

Prime Factorization of 55716

Prime factors of 55716 are 2, 3, 4643. Prime factorization of 55716 in exponential form is:

55716 = 22 × 31 × 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 55698 and 55716.

LCM(55698,55716) = 22 × 31 × 92831 × 46431
LCM(55698,55716) = 517211628