Least Common Multiple of 2351 and 2359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2351 and 2359 the smallest integer that is 5546009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2351 and 2359 is 5546009.

LCM(2351,2359) = 5546009

LCM of 2351 and 2359

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2351 and 2359

LCM of 2351 and 2359 is 5546009

Least common multiple can be found by multiplying the highest exponent prime factors of 2351 and 2359. First we will calculate the prime factors of 2351 and 2359.

Prime Factorization of 2351


2351 2351
1

Prime factors of 2351 are 2351. Prime factorization of 2351 in exponential form is:

2351 = 23511

Prime Factorization of 2359


7 2359
337 337
1

Prime factors of 2359 are 7,337. Prime factorization of 2359 in exponential form is:

2359 = 71×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 2351 and 2359.

LCM(2351,2359) = 71×3371×23511
LCM(2351,2359) = 5546009

Factors of 2351

List of positive integer factors of 2351 that divides 2351 without a remainder.

1, 2351

Factors of 2359

List of positive integer factors of 2359 that divides 2359 without a remainder.

1, 7, 337, 2359

Least Common Multiple of 2351 and 2359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2351 and 2359, than apply into the LCM equation.

GCF(2351,2359) = 1
LCM(2351,2359) = ( 2351 × 2359) / 1
LCM(2351,2359) = 5546009 / 1
LCM(2351,2359) = 5546009

Properties of LCM 2351 and 2359

(i) The LCM of 2359 and 2351 is associative

LCM of 2351 and 2359 = LCM of 2359 and 2351

Related Least Common Multiples of 2351

Related Least Common Multiples of 2359

Frequently Asked Questions on LCM of 2351 and 2359

1. What is the LCM of 2351 and 2359?

Answer: LCM of 2351 and 2359 is 5546009.

2. What are the Factors of 2351?

Answer: Factors of 2351 are 1, 2351. There are 2 integers that are factors of 2351. The greatest factor of 2351 is 2351.

3. What are the Factors of 2359?

Answer: Factors of 2359 are 1, 7, 337, 2359. There are 4 integers that are factors of 2359. The greatest factor of 2359 is 2359.

4. How to Find the LCM of 2351 and 2359?

Answer:

Least Common Multiple of 2351 and 2359 = 5546009

Step 1: Find the prime factorization of 2351

2351 = 2351

Step 2: Find the prime factorization of 2359

2359 = 7 x 337

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5546009 = 7 x 337 x 2351

Step 4: Therefore, the least common multiple of 2351 and 2359 is 5546009.