Least Common Multiple of 5350 and 5358

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 5358 the smallest integer that is 14332650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5350 and 5358 is 14332650.

LCM(5350,5358) = 14332650

LCM of 5350 and 5358

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

LCM of:
and

Least Common Multiple of 5350 and 5358

LCM of 5350 and 5358 is 14332650

Least common multiple can be found by multiplying the highest exponent prime factors of 5350 and 5358. First we will calculate the prime factors of 5350 and 5358.

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 5358


2 5358
3 2679
19 893
47 47
1

Prime factors of 5358 are 2, 3, 19,47. Prime factorization of 5358 in exponential form is:

5358 = 21×31×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5350 and 5358.

LCM(5350,5358) = 21×31×52×191×471×1071
LCM(5350,5358) = 14332650

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 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358

Least Common Multiple of 5350 and 5358 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 5358, than apply into the LCM equation.

GCF(5350,5358) = 2
LCM(5350,5358) = ( 5350 × 5358) / 2
LCM(5350,5358) = 28665300 / 2
LCM(5350,5358) = 14332650

Properties of LCM 5350 and 5358

(i) The LCM of 5358 and 5350 is associative

LCM of 5350 and 5358 = LCM of 5358 and 5350

Related Least Common Multiples of 5350

Related Least Common Multiples of 5358

Frequently Asked Questions on LCM of 5350 and 5358

1. What is the LCM of 5350 and 5358?

Answer: LCM of 5350 and 5358 is 14332650.

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 5358?

Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.

4. How to Find the LCM of 5350 and 5358?

Answer:

Least Common Multiple of 5350 and 5358 = 14332650

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

Step 2: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

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

LCM = 14332650 = 2 x 3 x 5 x 5 x 19 x 47 x 107

Step 4: Therefore, the least common multiple of 5350 and 5358 is 14332650.