GCF and LCM Calculator Logo

What is the Least Common Multiple of 56802 and 56811?

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 56802 and 56811 is 1075659474.

LCM(56802,56811) = 1075659474

LCM Calculator and
and

Least Common Multiple of 56802 and 56811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56802 and 56811, than apply into the LCM equation.

GCF(56802,56811) = 3
LCM(56802,56811) = ( 56802 × 56811) / 3
LCM(56802,56811) = 3226978422 / 3
LCM(56802,56811) = 1075659474

Least Common Multiple (LCM) of 56802 and 56811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56802 and 56811. First we will calculate the prime factors of 56802 and 56811.

Prime Factorization of 56802

Prime factors of 56802 are 2, 3, 9467. Prime factorization of 56802 in exponential form is:

56802 = 21 × 31 × 94671

Prime Factorization of 56811

Prime factors of 56811 are 3, 29, 653. Prime factorization of 56811 in exponential form is:

56811 = 31 × 291 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 56802 and 56811.

LCM(56802,56811) = 21 × 31 × 94671 × 291 × 6531
LCM(56802,56811) = 1075659474