Least Common Multiple of 5468 and 5475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5468 and 5475 the smallest integer that is 29937300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5468 and 5475 is 29937300.

LCM(5468,5475) = 29937300

LCM of 5468 and 5475

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

LCM of:
and

Least Common Multiple of 5468 and 5475

LCM of 5468 and 5475 is 29937300

Least common multiple can be found by multiplying the highest exponent prime factors of 5468 and 5475. First we will calculate the prime factors of 5468 and 5475.

Prime Factorization of 5468


2 5468
2 2734
1367 1367
1

Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:

5468 = 22×13671

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5468 and 5475.

LCM(5468,5475) = 22×31×52×731×13671
LCM(5468,5475) = 29937300

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1, 2, 4, 1367, 2734, 5468

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

Least Common Multiple of 5468 and 5475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5468 and 5475, than apply into the LCM equation.

GCF(5468,5475) = 1
LCM(5468,5475) = ( 5468 × 5475) / 1
LCM(5468,5475) = 29937300 / 1
LCM(5468,5475) = 29937300

Properties of LCM 5468 and 5475

(i) The LCM of 5475 and 5468 is associative

LCM of 5468 and 5475 = LCM of 5475 and 5468

Related Least Common Multiples of 5468

Related Least Common Multiples of 5475

Frequently Asked Questions on LCM of 5468 and 5475

1. What is the LCM of 5468 and 5475?

Answer: LCM of 5468 and 5475 is 29937300.

2. What are the Factors of 5468?

Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.

3. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

4. How to Find the LCM of 5468 and 5475?

Answer:

Least Common Multiple of 5468 and 5475 = 29937300

Step 1: Find the prime factorization of 5468

5468 = 2 x 2 x 1367

Step 2: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

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

LCM = 29937300 = 2 x 2 x 3 x 5 x 5 x 73 x 1367

Step 4: Therefore, the least common multiple of 5468 and 5475 is 29937300.