Least Common Multiple of 5416 and 5417

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 5417 the smallest integer that is 29338472 that is divisible by both numbers.

Least Common Multiple (LCM) of 5416 and 5417 is 29338472.

LCM(5416,5417) = 29338472

LCM of 5416 and 5417

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

LCM of:
and

Least Common Multiple of 5416 and 5417

LCM of 5416 and 5417 is 29338472

Least common multiple can be found by multiplying the highest exponent prime factors of 5416 and 5417. First we will calculate the prime factors of 5416 and 5417.

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 5417


5417 5417
1

Prime factors of 5417 are 5417. Prime factorization of 5417 in exponential form is:

5417 = 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 5416 and 5417.

LCM(5416,5417) = 23×6771×54171
LCM(5416,5417) = 29338472

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 5417

List of positive integer factors of 5417 that divides 5417 without a remainder.

1, 5417

Least Common Multiple of 5416 and 5417 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 5417, than apply into the LCM equation.

GCF(5416,5417) = 1
LCM(5416,5417) = ( 5416 × 5417) / 1
LCM(5416,5417) = 29338472 / 1
LCM(5416,5417) = 29338472

Properties of LCM 5416 and 5417

(i) The LCM of 5417 and 5416 is associative

LCM of 5416 and 5417 = LCM of 5417 and 5416

Related Least Common Multiples of 5416

Related Least Common Multiples of 5417

Frequently Asked Questions on LCM of 5416 and 5417

1. What is the LCM of 5416 and 5417?

Answer: LCM of 5416 and 5417 is 29338472.

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 5417?

Answer: Factors of 5417 are 1, 5417. There are 2 integers that are factors of 5417. The greatest factor of 5417 is 5417.

4. How to Find the LCM of 5416 and 5417?

Answer:

Least Common Multiple of 5416 and 5417 = 29338472

Step 1: Find the prime factorization of 5416

5416 = 2 x 2 x 2 x 677

Step 2: Find the prime factorization of 5417

5417 = 5417

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

LCM = 29338472 = 2 x 2 x 2 x 677 x 5417

Step 4: Therefore, the least common multiple of 5416 and 5417 is 29338472.