Least Common Multiple of 2348 and 2353

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 2353 the smallest integer that is 5524844 that is divisible by both numbers.

Least Common Multiple (LCM) of 2348 and 2353 is 5524844.

LCM(2348,2353) = 5524844

LCM of 2348 and 2353

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

LCM of:
and

Least Common Multiple of 2348 and 2353

LCM of 2348 and 2353 is 5524844

Least common multiple can be found by multiplying the highest exponent prime factors of 2348 and 2353. First we will calculate the prime factors of 2348 and 2353.

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 2353


13 2353
181 181
1

Prime factors of 2353 are 13,181. Prime factorization of 2353 in exponential form is:

2353 = 131×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2348 and 2353.

LCM(2348,2353) = 22×131×1811×5871
LCM(2348,2353) = 5524844

Factors of 2348

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

1, 2, 4, 587, 1174, 2348

Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1, 13, 181, 2353

Least Common Multiple of 2348 and 2353 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 2353, than apply into the LCM equation.

GCF(2348,2353) = 1
LCM(2348,2353) = ( 2348 × 2353) / 1
LCM(2348,2353) = 5524844 / 1
LCM(2348,2353) = 5524844

Properties of LCM 2348 and 2353

(i) The LCM of 2353 and 2348 is associative

LCM of 2348 and 2353 = LCM of 2353 and 2348

Related Least Common Multiples of 2348

Related Least Common Multiples of 2353

Frequently Asked Questions on LCM of 2348 and 2353

1. What is the LCM of 2348 and 2353?

Answer: LCM of 2348 and 2353 is 5524844.

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 2353?

Answer: Factors of 2353 are 1, 13, 181, 2353. There are 4 integers that are factors of 2353. The greatest factor of 2353 is 2353.

4. How to Find the LCM of 2348 and 2353?

Answer:

Least Common Multiple of 2348 and 2353 = 5524844

Step 1: Find the prime factorization of 2348

2348 = 2 x 2 x 587

Step 2: Find the prime factorization of 2353

2353 = 13 x 181

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

LCM = 5524844 = 2 x 2 x 13 x 181 x 587

Step 4: Therefore, the least common multiple of 2348 and 2353 is 5524844.