Least Common Multiple of 5417 and 5425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5417 and 5425 the smallest integer that is 29387225 that is divisible by both numbers.

Least Common Multiple (LCM) of 5417 and 5425 is 29387225.

LCM(5417,5425) = 29387225

LCM of 5417 and 5425

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

LCM of:
and

Least Common Multiple of 5417 and 5425

LCM of 5417 and 5425 is 29387225

Least common multiple can be found by multiplying the highest exponent prime factors of 5417 and 5425. First we will calculate the prime factors of 5417 and 5425.

Prime Factorization of 5417


5417 5417
1

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

5417 = 54171

Prime Factorization of 5425


5 5425
5 1085
7 217
31 31
1

Prime factors of 5425 are 5, 7,31. Prime factorization of 5425 in exponential form is:

5425 = 52×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5417 and 5425.

LCM(5417,5425) = 52×71×311×54171
LCM(5417,5425) = 29387225

Factors of 5417

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

1, 5417

Factors of 5425

List of positive integer factors of 5425 that divides 5425 without a remainder.

1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425

Least Common Multiple of 5417 and 5425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5417 and 5425, than apply into the LCM equation.

GCF(5417,5425) = 1
LCM(5417,5425) = ( 5417 × 5425) / 1
LCM(5417,5425) = 29387225 / 1
LCM(5417,5425) = 29387225

Properties of LCM 5417 and 5425

(i) The LCM of 5425 and 5417 is associative

LCM of 5417 and 5425 = LCM of 5425 and 5417

Related Least Common Multiples of 5417

Related Least Common Multiples of 5425

Frequently Asked Questions on LCM of 5417 and 5425

1. What is the LCM of 5417 and 5425?

Answer: LCM of 5417 and 5425 is 29387225.

2. 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.

3. What are the Factors of 5425?

Answer: Factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425. There are 12 integers that are factors of 5425. The greatest factor of 5425 is 5425.

4. How to Find the LCM of 5417 and 5425?

Answer:

Least Common Multiple of 5417 and 5425 = 29387225

Step 1: Find the prime factorization of 5417

5417 = 5417

Step 2: Find the prime factorization of 5425

5425 = 5 x 5 x 7 x 31

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

LCM = 29387225 = 5 x 5 x 7 x 31 x 5417

Step 4: Therefore, the least common multiple of 5417 and 5425 is 29387225.