GCF and LCM Calculator Logo

What is the Least Common Multiple of 55702 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 55702 and 55716 is 1551746316.

LCM(55702,55716) = 1551746316

LCM Calculator and
and

Least Common Multiple of 55702 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 55702 and 55716, than apply into the LCM equation.

GCF(55702,55716) = 2
LCM(55702,55716) = ( 55702 × 55716) / 2
LCM(55702,55716) = 3103492632 / 2
LCM(55702,55716) = 1551746316

Least Common Multiple (LCM) of 55702 and 55716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55702 and 55716. First we will calculate the prime factors of 55702 and 55716.

Prime Factorization of 55702

Prime factors of 55702 are 2, 27851. Prime factorization of 55702 in exponential form is:

55702 = 21 × 278511

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 55702 and 55716.

LCM(55702,55716) = 22 × 278511 × 31 × 46431
LCM(55702,55716) = 1551746316