GCF and LCM Calculator Logo

What is the Least Common Multiple of 56825 and 56844?

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 56825 and 56844 is 3230160300.

LCM(56825,56844) = 3230160300

LCM Calculator and
and

Least Common Multiple of 56825 and 56844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56825 and 56844, than apply into the LCM equation.

GCF(56825,56844) = 1
LCM(56825,56844) = ( 56825 × 56844) / 1
LCM(56825,56844) = 3230160300 / 1
LCM(56825,56844) = 3230160300

Least Common Multiple (LCM) of 56825 and 56844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56825 and 56844. First we will calculate the prime factors of 56825 and 56844.

Prime Factorization of 56825

Prime factors of 56825 are 5, 2273. Prime factorization of 56825 in exponential form is:

56825 = 52 × 22731

Prime Factorization of 56844

Prime factors of 56844 are 2, 3, 1579. Prime factorization of 56844 in exponential form is:

56844 = 22 × 32 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 56825 and 56844.

LCM(56825,56844) = 52 × 22731 × 22 × 32 × 15791
LCM(56825,56844) = 3230160300