Least Common Multiple of 5356 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 5356 and 5360 the smallest integer that is 7177040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5356 and 5360 is 7177040.

LCM(5356,5360) = 7177040

LCM of 5356 and 5360

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

LCM of:
and

Least Common Multiple of 5356 and 5360

LCM of 5356 and 5360 is 7177040

Least common multiple can be found by multiplying the highest exponent prime factors of 5356 and 5360. First we will calculate the prime factors of 5356 and 5360.

Prime Factorization of 5356


2 5356
2 2678
13 1339
103 103
1

Prime factors of 5356 are 2, 13,103. Prime factorization of 5356 in exponential form is:

5356 = 22×131×1031

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 5356 and 5360.

LCM(5356,5360) = 24×51×131×671×1031
LCM(5356,5360) = 7177040

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356

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 5356 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 5356 and 5360, than apply into the LCM equation.

GCF(5356,5360) = 4
LCM(5356,5360) = ( 5356 × 5360) / 4
LCM(5356,5360) = 28708160 / 4
LCM(5356,5360) = 7177040

Properties of LCM 5356 and 5360

(i) The LCM of 5360 and 5356 is associative

LCM of 5356 and 5360 = LCM of 5360 and 5356

Related Least Common Multiples of 5356

Related Least Common Multiples of 5360

Frequently Asked Questions on LCM of 5356 and 5360

1. What is the LCM of 5356 and 5360?

Answer: LCM of 5356 and 5360 is 7177040.

2. What are the Factors of 5356?

Answer: Factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356. There are 12 integers that are factors of 5356. The greatest factor of 5356 is 5356.

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 5356 and 5360?

Answer:

Least Common Multiple of 5356 and 5360 = 7177040

Step 1: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

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 = 7177040 = 2 x 2 x 2 x 2 x 5 x 13 x 67 x 103

Step 4: Therefore, the least common multiple of 5356 and 5360 is 7177040.