Least Common Multiple of 5416 and 5423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5416 and 5423 the smallest integer that is 29370968 that is divisible by both numbers.

Least Common Multiple (LCM) of 5416 and 5423 is 29370968.

LCM(5416,5423) = 29370968

LCM of 5416 and 5423

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

LCM of:
and

Least Common Multiple of 5416 and 5423

LCM of 5416 and 5423 is 29370968

Least common multiple can be found by multiplying the highest exponent prime factors of 5416 and 5423. First we will calculate the prime factors of 5416 and 5423.

Prime Factorization of 5416


2 5416
2 2708
2 1354
677 677
1

Prime factors of 5416 are 2,677. Prime factorization of 5416 in exponential form is:

5416 = 23×6771

Prime Factorization of 5423


11 5423
17 493
29 29
1

Prime factors of 5423 are 11, 17,29. Prime factorization of 5423 in exponential form is:

5423 = 111×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5416 and 5423.

LCM(5416,5423) = 23×111×171×291×6771
LCM(5416,5423) = 29370968

Factors of 5416

List of positive integer factors of 5416 that divides 5416 without a remainder.

1, 2, 4, 8, 677, 1354, 2708, 5416

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1, 11, 17, 29, 187, 319, 493, 5423

Least Common Multiple of 5416 and 5423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5416 and 5423, than apply into the LCM equation.

GCF(5416,5423) = 1
LCM(5416,5423) = ( 5416 × 5423) / 1
LCM(5416,5423) = 29370968 / 1
LCM(5416,5423) = 29370968

Properties of LCM 5416 and 5423

(i) The LCM of 5423 and 5416 is associative

LCM of 5416 and 5423 = LCM of 5423 and 5416

Related Least Common Multiples of 5416

Related Least Common Multiples of 5423

Frequently Asked Questions on LCM of 5416 and 5423

1. What is the LCM of 5416 and 5423?

Answer: LCM of 5416 and 5423 is 29370968.

2. What are the Factors of 5416?

Answer: Factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416. There are 8 integers that are factors of 5416. The greatest factor of 5416 is 5416.

3. What are the Factors of 5423?

Answer: Factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423. There are 8 integers that are factors of 5423. The greatest factor of 5423 is 5423.

4. How to Find the LCM of 5416 and 5423?

Answer:

Least Common Multiple of 5416 and 5423 = 29370968

Step 1: Find the prime factorization of 5416

5416 = 2 x 2 x 2 x 677

Step 2: Find the prime factorization of 5423

5423 = 11 x 17 x 29

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

LCM = 29370968 = 2 x 2 x 2 x 11 x 17 x 29 x 677

Step 4: Therefore, the least common multiple of 5416 and 5423 is 29370968.