Least Common Multiple of 5350 and 5356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5350 and 5356 the smallest integer that is 14327300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5350 and 5356 is 14327300.

LCM(5350,5356) = 14327300

LCM of 5350 and 5356

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

LCM of:
and

Least Common Multiple of 5350 and 5356

LCM of 5350 and 5356 is 14327300

Least common multiple can be found by multiplying the highest exponent prime factors of 5350 and 5356. First we will calculate the prime factors of 5350 and 5356.

Prime Factorization of 5350


2 5350
5 2675
5 535
107 107
1

Prime factors of 5350 are 2, 5,107. Prime factorization of 5350 in exponential form is:

5350 = 21×52×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5350 and 5356.

LCM(5350,5356) = 22×52×131×1031×1071
LCM(5350,5356) = 14327300

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350

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

Least Common Multiple of 5350 and 5356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5350 and 5356, than apply into the LCM equation.

GCF(5350,5356) = 2
LCM(5350,5356) = ( 5350 × 5356) / 2
LCM(5350,5356) = 28654600 / 2
LCM(5350,5356) = 14327300

Properties of LCM 5350 and 5356

(i) The LCM of 5356 and 5350 is associative

LCM of 5350 and 5356 = LCM of 5356 and 5350

Related Least Common Multiples of 5350

Related Least Common Multiples of 5356

Frequently Asked Questions on LCM of 5350 and 5356

1. What is the LCM of 5350 and 5356?

Answer: LCM of 5350 and 5356 is 14327300.

2. What are the Factors of 5350?

Answer: Factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350. There are 12 integers that are factors of 5350. The greatest factor of 5350 is 5350.

3. 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.

4. How to Find the LCM of 5350 and 5356?

Answer:

Least Common Multiple of 5350 and 5356 = 14327300

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

Step 2: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

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

LCM = 14327300 = 2 x 2 x 5 x 5 x 13 x 103 x 107

Step 4: Therefore, the least common multiple of 5350 and 5356 is 14327300.