Least Common Multiple of 5346 and 5354

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 5354 the smallest integer that is 14311242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5346 and 5354 is 14311242.

LCM(5346,5354) = 14311242

LCM of 5346 and 5354

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

LCM of:
and

Least Common Multiple of 5346 and 5354

LCM of 5346 and 5354 is 14311242

Least common multiple can be found by multiplying the highest exponent prime factors of 5346 and 5354. First we will calculate the prime factors of 5346 and 5354.

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 5354


2 5354
2677 2677
1

Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:

5354 = 21×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 5346 and 5354.

LCM(5346,5354) = 21×35×111×26771
LCM(5346,5354) = 14311242

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 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1, 2, 2677, 5354

Least Common Multiple of 5346 and 5354 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 5354, than apply into the LCM equation.

GCF(5346,5354) = 2
LCM(5346,5354) = ( 5346 × 5354) / 2
LCM(5346,5354) = 28622484 / 2
LCM(5346,5354) = 14311242

Properties of LCM 5346 and 5354

(i) The LCM of 5354 and 5346 is associative

LCM of 5346 and 5354 = LCM of 5354 and 5346

Related Least Common Multiples of 5346

Related Least Common Multiples of 5354

Frequently Asked Questions on LCM of 5346 and 5354

1. What is the LCM of 5346 and 5354?

Answer: LCM of 5346 and 5354 is 14311242.

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 5354?

Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.

4. How to Find the LCM of 5346 and 5354?

Answer:

Least Common Multiple of 5346 and 5354 = 14311242

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 5354

5354 = 2 x 2677

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

LCM = 14311242 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 2677

Step 4: Therefore, the least common multiple of 5346 and 5354 is 14311242.