GCF and LCM Calculator Logo

What is the Least Common Multiple of 58277 and 58291?

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 58277 and 58291 is 3397024607.

LCM(58277,58291) = 3397024607

LCM Calculator and
and

Least Common Multiple of 58277 and 58291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58277 and 58291, than apply into the LCM equation.

GCF(58277,58291) = 1
LCM(58277,58291) = ( 58277 × 58291) / 1
LCM(58277,58291) = 3397024607 / 1
LCM(58277,58291) = 3397024607

Least Common Multiple (LCM) of 58277 and 58291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58277 and 58291. First we will calculate the prime factors of 58277 and 58291.

Prime Factorization of 58277

Prime factors of 58277 are 101, 577. Prime factorization of 58277 in exponential form is:

58277 = 1011 × 5771

Prime Factorization of 58291

Prime factors of 58291 are 71, 821. Prime factorization of 58291 in exponential form is:

58291 = 711 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 58277 and 58291.

LCM(58277,58291) = 1011 × 5771 × 711 × 8211
LCM(58277,58291) = 3397024607