Least Common Multiple of 5352 and 5357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5352 and 5357 the smallest integer that is 28670664 that is divisible by both numbers.

Least Common Multiple (LCM) of 5352 and 5357 is 28670664.

LCM(5352,5357) = 28670664

LCM of 5352 and 5357

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

LCM of:
and

Least Common Multiple of 5352 and 5357

LCM of 5352 and 5357 is 28670664

Least common multiple can be found by multiplying the highest exponent prime factors of 5352 and 5357. First we will calculate the prime factors of 5352 and 5357.

Prime Factorization of 5352


2 5352
2 2676
2 1338
3 669
223 223
1

Prime factors of 5352 are 2, 3,223. Prime factorization of 5352 in exponential form is:

5352 = 23×31×2231

Prime Factorization of 5357


11 5357
487 487
1

Prime factors of 5357 are 11,487. Prime factorization of 5357 in exponential form is:

5357 = 111×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 5352 and 5357.

LCM(5352,5357) = 23×31×111×2231×4871
LCM(5352,5357) = 28670664

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

Factors of 5357

List of positive integer factors of 5357 that divides 5357 without a remainder.

1, 11, 487, 5357

Least Common Multiple of 5352 and 5357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5352 and 5357, than apply into the LCM equation.

GCF(5352,5357) = 1
LCM(5352,5357) = ( 5352 × 5357) / 1
LCM(5352,5357) = 28670664 / 1
LCM(5352,5357) = 28670664

Properties of LCM 5352 and 5357

(i) The LCM of 5357 and 5352 is associative

LCM of 5352 and 5357 = LCM of 5357 and 5352

Related Least Common Multiples of 5352

Related Least Common Multiples of 5357

Frequently Asked Questions on LCM of 5352 and 5357

1. What is the LCM of 5352 and 5357?

Answer: LCM of 5352 and 5357 is 28670664.

2. What are the Factors of 5352?

Answer: Factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352. There are 16 integers that are factors of 5352. The greatest factor of 5352 is 5352.

3. What are the Factors of 5357?

Answer: Factors of 5357 are 1, 11, 487, 5357. There are 4 integers that are factors of 5357. The greatest factor of 5357 is 5357.

4. How to Find the LCM of 5352 and 5357?

Answer:

Least Common Multiple of 5352 and 5357 = 28670664

Step 1: Find the prime factorization of 5352

5352 = 2 x 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 5357

5357 = 11 x 487

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

LCM = 28670664 = 2 x 2 x 2 x 3 x 11 x 223 x 487

Step 4: Therefore, the least common multiple of 5352 and 5357 is 28670664.