GCF and LCM Calculator Logo

What is the Least Common Multiple of 56345 and 56358?

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 56345 and 56358 is 3175491510.

LCM(56345,56358) = 3175491510

LCM Calculator and
and

Least Common Multiple of 56345 and 56358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56345 and 56358, than apply into the LCM equation.

GCF(56345,56358) = 1
LCM(56345,56358) = ( 56345 × 56358) / 1
LCM(56345,56358) = 3175491510 / 1
LCM(56345,56358) = 3175491510

Least Common Multiple (LCM) of 56345 and 56358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56345 and 56358. First we will calculate the prime factors of 56345 and 56358.

Prime Factorization of 56345

Prime factors of 56345 are 5, 59, 191. Prime factorization of 56345 in exponential form is:

56345 = 51 × 591 × 1911

Prime Factorization of 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 21 × 32 × 311 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 56345 and 56358.

LCM(56345,56358) = 51 × 591 × 1911 × 21 × 32 × 311 × 1011
LCM(56345,56358) = 3175491510