GCF and LCM Calculator Logo

What is the Least Common Multiple of 55702 and 55719?

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 55719 is 3103659738.

LCM(55702,55719) = 3103659738

LCM Calculator and
and

Least Common Multiple of 55702 and 55719 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 55719, than apply into the LCM equation.

GCF(55702,55719) = 1
LCM(55702,55719) = ( 55702 × 55719) / 1
LCM(55702,55719) = 3103659738 / 1
LCM(55702,55719) = 3103659738

Least Common Multiple (LCM) of 55702 and 55719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55702 and 55719. First we will calculate the prime factors of 55702 and 55719.

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 55719

Prime factors of 55719 are 3, 41, 151. Prime factorization of 55719 in exponential form is:

55719 = 32 × 411 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 55702 and 55719.

LCM(55702,55719) = 21 × 278511 × 32 × 411 × 1511
LCM(55702,55719) = 3103659738