Least Common Multiple of 5345 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 5345 and 5350 the smallest integer that is 5719150 that is divisible by both numbers.

Least Common Multiple (LCM) of 5345 and 5350 is 5719150.

LCM(5345,5350) = 5719150

LCM of 5345 and 5350

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

LCM of:
and

Least Common Multiple of 5345 and 5350

LCM of 5345 and 5350 is 5719150

Least common multiple can be found by multiplying the highest exponent prime factors of 5345 and 5350. First we will calculate the prime factors of 5345 and 5350.

Prime Factorization of 5345


5 5345
1069 1069
1

Prime factors of 5345 are 5,1069. Prime factorization of 5345 in exponential form is:

5345 = 51×10691

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 5345 and 5350.

LCM(5345,5350) = 21×52×1071×10691
LCM(5345,5350) = 5719150

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1, 5, 1069, 5345

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 5345 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 5345 and 5350, than apply into the LCM equation.

GCF(5345,5350) = 5
LCM(5345,5350) = ( 5345 × 5350) / 5
LCM(5345,5350) = 28595750 / 5
LCM(5345,5350) = 5719150

Properties of LCM 5345 and 5350

(i) The LCM of 5350 and 5345 is associative

LCM of 5345 and 5350 = LCM of 5350 and 5345

Related Least Common Multiples of 5345

Related Least Common Multiples of 5350

Frequently Asked Questions on LCM of 5345 and 5350

1. What is the LCM of 5345 and 5350?

Answer: LCM of 5345 and 5350 is 5719150.

2. What are the Factors of 5345?

Answer: Factors of 5345 are 1, 5, 1069, 5345. There are 4 integers that are factors of 5345. The greatest factor of 5345 is 5345.

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 5345 and 5350?

Answer:

Least Common Multiple of 5345 and 5350 = 5719150

Step 1: Find the prime factorization of 5345

5345 = 5 x 1069

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 = 5719150 = 2 x 5 x 5 x 107 x 1069

Step 4: Therefore, the least common multiple of 5345 and 5350 is 5719150.