GCF and LCM Calculator Logo

What is the Least Common Multiple of 55291 and 55302?

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 55291 and 55302 is 3057702882.

LCM(55291,55302) = 3057702882

LCM Calculator and
and

Least Common Multiple of 55291 and 55302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55291 and 55302, than apply into the LCM equation.

GCF(55291,55302) = 1
LCM(55291,55302) = ( 55291 × 55302) / 1
LCM(55291,55302) = 3057702882 / 1
LCM(55291,55302) = 3057702882

Least Common Multiple (LCM) of 55291 and 55302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55291 and 55302. First we will calculate the prime factors of 55291 and 55302.

Prime Factorization of 55291

Prime factors of 55291 are 55291. Prime factorization of 55291 in exponential form is:

55291 = 552911

Prime Factorization of 55302

Prime factors of 55302 are 2, 3, 13, 709. Prime factorization of 55302 in exponential form is:

55302 = 21 × 31 × 131 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 55291 and 55302.

LCM(55291,55302) = 552911 × 21 × 31 × 131 × 7091
LCM(55291,55302) = 3057702882