Least Common Multiple of 2348 and 2351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2348 and 2351 the smallest integer that is 5520148 that is divisible by both numbers.

Least Common Multiple (LCM) of 2348 and 2351 is 5520148.

LCM(2348,2351) = 5520148

LCM of 2348 and 2351

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

LCM of:
and

Least Common Multiple of 2348 and 2351

LCM of 2348 and 2351 is 5520148

Least common multiple can be found by multiplying the highest exponent prime factors of 2348 and 2351. First we will calculate the prime factors of 2348 and 2351.

Prime Factorization of 2348


2 2348
2 1174
587 587
1

Prime factors of 2348 are 2,587. Prime factorization of 2348 in exponential form is:

2348 = 22×5871

Prime Factorization of 2351


2351 2351
1

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

2351 = 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 2348 and 2351.

LCM(2348,2351) = 22×5871×23511
LCM(2348,2351) = 5520148

Factors of 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1, 2, 4, 587, 1174, 2348

Factors of 2351

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

1, 2351

Least Common Multiple of 2348 and 2351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2348 and 2351, than apply into the LCM equation.

GCF(2348,2351) = 1
LCM(2348,2351) = ( 2348 × 2351) / 1
LCM(2348,2351) = 5520148 / 1
LCM(2348,2351) = 5520148

Properties of LCM 2348 and 2351

(i) The LCM of 2351 and 2348 is associative

LCM of 2348 and 2351 = LCM of 2351 and 2348

Related Least Common Multiples of 2348

Related Least Common Multiples of 2351

Frequently Asked Questions on LCM of 2348 and 2351

1. What is the LCM of 2348 and 2351?

Answer: LCM of 2348 and 2351 is 5520148.

2. What are the Factors of 2348?

Answer: Factors of 2348 are 1, 2, 4, 587, 1174, 2348. There are 6 integers that are factors of 2348. The greatest factor of 2348 is 2348.

3. 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.

4. How to Find the LCM of 2348 and 2351?

Answer:

Least Common Multiple of 2348 and 2351 = 5520148

Step 1: Find the prime factorization of 2348

2348 = 2 x 2 x 587

Step 2: Find the prime factorization of 2351

2351 = 2351

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

LCM = 5520148 = 2 x 2 x 587 x 2351

Step 4: Therefore, the least common multiple of 2348 and 2351 is 5520148.