GCF and LCM Calculator Logo

What is the Least Common Multiple of 56829 and 56837?

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 56829 and 56837 is 3229989873.

LCM(56829,56837) = 3229989873

LCM Calculator and
and

Least Common Multiple of 56829 and 56837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56829 and 56837, than apply into the LCM equation.

GCF(56829,56837) = 1
LCM(56829,56837) = ( 56829 × 56837) / 1
LCM(56829,56837) = 3229989873 / 1
LCM(56829,56837) = 3229989873

Least Common Multiple (LCM) of 56829 and 56837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56829 and 56837. First we will calculate the prime factors of 56829 and 56837.

Prime Factorization of 56829

Prime factors of 56829 are 3, 19, 997. Prime factorization of 56829 in exponential form is:

56829 = 31 × 191 × 9971

Prime Factorization of 56837

Prime factors of 56837 are 11, 5167. Prime factorization of 56837 in exponential form is:

56837 = 111 × 51671

Now multiplying the highest exponent prime factors to calculate the LCM of 56829 and 56837.

LCM(56829,56837) = 31 × 191 × 9971 × 111 × 51671
LCM(56829,56837) = 3229989873