Least Common Multiple of 5352 and 5360

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 5360 the smallest integer that is 3585840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5352 and 5360 is 3585840.

LCM(5352,5360) = 3585840

LCM of 5352 and 5360

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

LCM of:
and

Least Common Multiple of 5352 and 5360

LCM of 5352 and 5360 is 3585840

Least common multiple can be found by multiplying the highest exponent prime factors of 5352 and 5360. First we will calculate the prime factors of 5352 and 5360.

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 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2, 5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5352 and 5360.

LCM(5352,5360) = 24×31×51×671×2231
LCM(5352,5360) = 3585840

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 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360

Least Common Multiple of 5352 and 5360 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 5360, than apply into the LCM equation.

GCF(5352,5360) = 8
LCM(5352,5360) = ( 5352 × 5360) / 8
LCM(5352,5360) = 28686720 / 8
LCM(5352,5360) = 3585840

Properties of LCM 5352 and 5360

(i) The LCM of 5360 and 5352 is associative

LCM of 5352 and 5360 = LCM of 5360 and 5352

Related Least Common Multiples of 5352

Related Least Common Multiples of 5360

Frequently Asked Questions on LCM of 5352 and 5360

1. What is the LCM of 5352 and 5360?

Answer: LCM of 5352 and 5360 is 3585840.

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 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

4. How to Find the LCM of 5352 and 5360?

Answer:

Least Common Multiple of 5352 and 5360 = 3585840

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 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

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

LCM = 3585840 = 2 x 2 x 2 x 2 x 3 x 5 x 67 x 223

Step 4: Therefore, the least common multiple of 5352 and 5360 is 3585840.