Least Common Multiple of 5344 and 5350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5344 and 5350 the smallest integer that is 14295200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5344 and 5350 is 14295200.

LCM(5344,5350) = 14295200

LCM of 5344 and 5350

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

LCM of:
and

Least Common Multiple of 5344 and 5350

LCM of 5344 and 5350 is 14295200

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5350. First we will calculate the prime factors of 5344 and 5350.

Prime Factorization of 5344


2 5344
2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 5344 are 2,167. Prime factorization of 5344 in exponential form is:

5344 = 25×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5350.

LCM(5344,5350) = 25×52×1071×1671
LCM(5344,5350) = 14295200

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344

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

Least Common Multiple of 5344 and 5350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5344 and 5350, than apply into the LCM equation.

GCF(5344,5350) = 2
LCM(5344,5350) = ( 5344 × 5350) / 2
LCM(5344,5350) = 28590400 / 2
LCM(5344,5350) = 14295200

Properties of LCM 5344 and 5350

(i) The LCM of 5350 and 5344 is associative

LCM of 5344 and 5350 = LCM of 5350 and 5344

Related Least Common Multiples of 5344

Related Least Common Multiples of 5350

Frequently Asked Questions on LCM of 5344 and 5350

1. What is the LCM of 5344 and 5350?

Answer: LCM of 5344 and 5350 is 14295200.

2. What are the Factors of 5344?

Answer: Factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344. There are 12 integers that are factors of 5344. The greatest factor of 5344 is 5344.

3. 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.

4. How to Find the LCM of 5344 and 5350?

Answer:

Least Common Multiple of 5344 and 5350 = 14295200

Step 1: Find the prime factorization of 5344

5344 = 2 x 2 x 2 x 2 x 2 x 167

Step 2: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

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

LCM = 14295200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 107 x 167

Step 4: Therefore, the least common multiple of 5344 and 5350 is 14295200.