GCF and LCM Calculator Logo

What is the Least Common Multiple of 56024 and 56031?

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 56024 and 56031 is 3139080744.

LCM(56024,56031) = 3139080744

LCM Calculator and
and

Least Common Multiple of 56024 and 56031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56024 and 56031, than apply into the LCM equation.

GCF(56024,56031) = 1
LCM(56024,56031) = ( 56024 × 56031) / 1
LCM(56024,56031) = 3139080744 / 1
LCM(56024,56031) = 3139080744

Least Common Multiple (LCM) of 56024 and 56031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56024 and 56031. First we will calculate the prime factors of 56024 and 56031.

Prime Factorization of 56024

Prime factors of 56024 are 2, 47, 149. Prime factorization of 56024 in exponential form is:

56024 = 23 × 471 × 1491

Prime Factorization of 56031

Prime factors of 56031 are 3, 19, 983. Prime factorization of 56031 in exponential form is:

56031 = 31 × 191 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 56024 and 56031.

LCM(56024,56031) = 23 × 471 × 1491 × 31 × 191 × 9831
LCM(56024,56031) = 3139080744