Least Common Multiple of 5346 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 5346 and 5350 the smallest integer that is 14300550 that is divisible by both numbers.

Least Common Multiple (LCM) of 5346 and 5350 is 14300550.

LCM(5346,5350) = 14300550

LCM of 5346 and 5350

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

LCM of:
and

Least Common Multiple of 5346 and 5350

LCM of 5346 and 5350 is 14300550

Least common multiple can be found by multiplying the highest exponent prime factors of 5346 and 5350. First we will calculate the prime factors of 5346 and 5350.

Prime Factorization of 5346


2 5346
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 5346 are 2, 3,11. Prime factorization of 5346 in exponential form is:

5346 = 21×35×111

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 5346 and 5350.

LCM(5346,5350) = 21×35×52×111×1071
LCM(5346,5350) = 14300550

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346

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 5346 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 5346 and 5350, than apply into the LCM equation.

GCF(5346,5350) = 2
LCM(5346,5350) = ( 5346 × 5350) / 2
LCM(5346,5350) = 28601100 / 2
LCM(5346,5350) = 14300550

Properties of LCM 5346 and 5350

(i) The LCM of 5350 and 5346 is associative

LCM of 5346 and 5350 = LCM of 5350 and 5346

Related Least Common Multiples of 5346

Related Least Common Multiples of 5350

Frequently Asked Questions on LCM of 5346 and 5350

1. What is the LCM of 5346 and 5350?

Answer: LCM of 5346 and 5350 is 14300550.

2. What are the Factors of 5346?

Answer: Factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346. There are 24 integers that are factors of 5346. The greatest factor of 5346 is 5346.

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 5346 and 5350?

Answer:

Least Common Multiple of 5346 and 5350 = 14300550

Step 1: Find the prime factorization of 5346

5346 = 2 x 3 x 3 x 3 x 3 x 3 x 11

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 = 14300550 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 107

Step 4: Therefore, the least common multiple of 5346 and 5350 is 14300550.