Least Common Multiple of 2352 and 2357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2352 and 2357 the smallest integer that is 5543664 that is divisible by both numbers.

Least Common Multiple (LCM) of 2352 and 2357 is 5543664.

LCM(2352,2357) = 5543664

LCM of 2352 and 2357

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

LCM of:
and

Least Common Multiple of 2352 and 2357

LCM of 2352 and 2357 is 5543664

Least common multiple can be found by multiplying the highest exponent prime factors of 2352 and 2357. First we will calculate the prime factors of 2352 and 2357.

Prime Factorization of 2352


2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 2352 are 2, 3,7. Prime factorization of 2352 in exponential form is:

2352 = 24×31×72

Prime Factorization of 2357


2357 2357
1

Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:

2357 = 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 2352 and 2357.

LCM(2352,2357) = 24×31×72×23571
LCM(2352,2357) = 5543664

Factors of 2352

List of positive integer factors of 2352 that divides 2352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352

Factors of 2357

List of positive integer factors of 2357 that divides 2357 without a remainder.

1, 2357

Least Common Multiple of 2352 and 2357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2352 and 2357, than apply into the LCM equation.

GCF(2352,2357) = 1
LCM(2352,2357) = ( 2352 × 2357) / 1
LCM(2352,2357) = 5543664 / 1
LCM(2352,2357) = 5543664

Properties of LCM 2352 and 2357

(i) The LCM of 2357 and 2352 is associative

LCM of 2352 and 2357 = LCM of 2357 and 2352

Related Least Common Multiples of 2352

Related Least Common Multiples of 2357

Frequently Asked Questions on LCM of 2352 and 2357

1. What is the LCM of 2352 and 2357?

Answer: LCM of 2352 and 2357 is 5543664.

2. What are the Factors of 2352?

Answer: Factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352. There are 30 integers that are factors of 2352. The greatest factor of 2352 is 2352.

3. What are the Factors of 2357?

Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.

4. How to Find the LCM of 2352 and 2357?

Answer:

Least Common Multiple of 2352 and 2357 = 5543664

Step 1: Find the prime factorization of 2352

2352 = 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 2357

2357 = 2357

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

LCM = 5543664 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 2357

Step 4: Therefore, the least common multiple of 2352 and 2357 is 5543664.