Least Common Multiple of 5360 and 5368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5360 and 5368 the smallest integer that is 3596560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5360 and 5368 is 3596560.

LCM(5360,5368) = 3596560

LCM of 5360 and 5368

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

LCM of:
and

Least Common Multiple of 5360 and 5368

LCM of 5360 and 5368 is 3596560

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5368. First we will calculate the prime factors of 5360 and 5368.

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

Prime Factorization of 5368


2 5368
2 2684
2 1342
11 671
61 61
1

Prime factors of 5368 are 2, 11,61. Prime factorization of 5368 in exponential form is:

5368 = 23×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5368.

LCM(5360,5368) = 24×51×111×611×671
LCM(5360,5368) = 3596560

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

Factors of 5368

List of positive integer factors of 5368 that divides 5368 without a remainder.

1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368

Least Common Multiple of 5360 and 5368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5360 and 5368, than apply into the LCM equation.

GCF(5360,5368) = 8
LCM(5360,5368) = ( 5360 × 5368) / 8
LCM(5360,5368) = 28772480 / 8
LCM(5360,5368) = 3596560

Properties of LCM 5360 and 5368

(i) The LCM of 5368 and 5360 is associative

LCM of 5360 and 5368 = LCM of 5368 and 5360

Related Least Common Multiples of 5360

Related Least Common Multiples of 5368

Frequently Asked Questions on LCM of 5360 and 5368

1. What is the LCM of 5360 and 5368?

Answer: LCM of 5360 and 5368 is 3596560.

2. 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.

3. What are the Factors of 5368?

Answer: Factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368. There are 16 integers that are factors of 5368. The greatest factor of 5368 is 5368.

4. How to Find the LCM of 5360 and 5368?

Answer:

Least Common Multiple of 5360 and 5368 = 3596560

Step 1: Find the prime factorization of 5360

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

Step 2: Find the prime factorization of 5368

5368 = 2 x 2 x 2 x 11 x 61

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

LCM = 3596560 = 2 x 2 x 2 x 2 x 5 x 11 x 61 x 67

Step 4: Therefore, the least common multiple of 5360 and 5368 is 3596560.