Least Common Multiple of 5360 and 5364

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 5364 the smallest integer that is 7187760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5360 and 5364 is 7187760.

LCM(5360,5364) = 7187760

LCM of 5360 and 5364

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

LCM of:
and

Least Common Multiple of 5360 and 5364

LCM of 5360 and 5364 is 7187760

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5364. First we will calculate the prime factors of 5360 and 5364.

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 5364


2 5364
2 2682
3 1341
3 447
149 149
1

Prime factors of 5364 are 2, 3,149. Prime factorization of 5364 in exponential form is:

5364 = 22×32×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5364.

LCM(5360,5364) = 24×32×51×671×1491
LCM(5360,5364) = 7187760

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 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364

Least Common Multiple of 5360 and 5364 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 5364, than apply into the LCM equation.

GCF(5360,5364) = 4
LCM(5360,5364) = ( 5360 × 5364) / 4
LCM(5360,5364) = 28751040 / 4
LCM(5360,5364) = 7187760

Properties of LCM 5360 and 5364

(i) The LCM of 5364 and 5360 is associative

LCM of 5360 and 5364 = LCM of 5364 and 5360

Related Least Common Multiples of 5360

Related Least Common Multiples of 5364

Frequently Asked Questions on LCM of 5360 and 5364

1. What is the LCM of 5360 and 5364?

Answer: LCM of 5360 and 5364 is 7187760.

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 5364?

Answer: Factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364. There are 18 integers that are factors of 5364. The greatest factor of 5364 is 5364.

4. How to Find the LCM of 5360 and 5364?

Answer:

Least Common Multiple of 5360 and 5364 = 7187760

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 5364

5364 = 2 x 2 x 3 x 3 x 149

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

LCM = 7187760 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 67 x 149

Step 4: Therefore, the least common multiple of 5360 and 5364 is 7187760.