Least Common Multiple of 5468 and 5473

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 5473 the smallest integer that is 29926364 that is divisible by both numbers.

Least Common Multiple (LCM) of 5468 and 5473 is 29926364.

LCM(5468,5473) = 29926364

LCM of 5468 and 5473

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

LCM of:
and

Least Common Multiple of 5468 and 5473

LCM of 5468 and 5473 is 29926364

Least common multiple can be found by multiplying the highest exponent prime factors of 5468 and 5473. First we will calculate the prime factors of 5468 and 5473.

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 5473


13 5473
421 421
1

Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:

5473 = 131×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 5468 and 5473.

LCM(5468,5473) = 22×131×4211×13671
LCM(5468,5473) = 29926364

Factors of 5468

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

1, 2, 4, 1367, 2734, 5468

Factors of 5473

List of positive integer factors of 5473 that divides 5473 without a remainder.

1, 13, 421, 5473

Least Common Multiple of 5468 and 5473 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 5473, than apply into the LCM equation.

GCF(5468,5473) = 1
LCM(5468,5473) = ( 5468 × 5473) / 1
LCM(5468,5473) = 29926364 / 1
LCM(5468,5473) = 29926364

Properties of LCM 5468 and 5473

(i) The LCM of 5473 and 5468 is associative

LCM of 5468 and 5473 = LCM of 5473 and 5468

Related Least Common Multiples of 5468

Related Least Common Multiples of 5473

Frequently Asked Questions on LCM of 5468 and 5473

1. What is the LCM of 5468 and 5473?

Answer: LCM of 5468 and 5473 is 29926364.

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 5473?

Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.

4. How to Find the LCM of 5468 and 5473?

Answer:

Least Common Multiple of 5468 and 5473 = 29926364

Step 1: Find the prime factorization of 5468

5468 = 2 x 2 x 1367

Step 2: Find the prime factorization of 5473

5473 = 13 x 421

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

LCM = 29926364 = 2 x 2 x 13 x 421 x 1367

Step 4: Therefore, the least common multiple of 5468 and 5473 is 29926364.