Least Common Multiple of 5458 and 5464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5458 and 5464 the smallest integer that is 14911256 that is divisible by both numbers.

Least Common Multiple (LCM) of 5458 and 5464 is 14911256.

LCM(5458,5464) = 14911256

LCM of 5458 and 5464

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

LCM of:
and

Least Common Multiple of 5458 and 5464

LCM of 5458 and 5464 is 14911256

Least common multiple can be found by multiplying the highest exponent prime factors of 5458 and 5464. First we will calculate the prime factors of 5458 and 5464.

Prime Factorization of 5458


2 5458
2729 2729
1

Prime factors of 5458 are 2,2729. Prime factorization of 5458 in exponential form is:

5458 = 21×27291

Prime Factorization of 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 5458 and 5464.

LCM(5458,5464) = 23×6831×27291
LCM(5458,5464) = 14911256

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1, 2, 2729, 5458

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1, 2, 4, 8, 683, 1366, 2732, 5464

Least Common Multiple of 5458 and 5464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5458 and 5464, than apply into the LCM equation.

GCF(5458,5464) = 2
LCM(5458,5464) = ( 5458 × 5464) / 2
LCM(5458,5464) = 29822512 / 2
LCM(5458,5464) = 14911256

Properties of LCM 5458 and 5464

(i) The LCM of 5464 and 5458 is associative

LCM of 5458 and 5464 = LCM of 5464 and 5458

Related Least Common Multiples of 5458

Related Least Common Multiples of 5464

Frequently Asked Questions on LCM of 5458 and 5464

1. What is the LCM of 5458 and 5464?

Answer: LCM of 5458 and 5464 is 14911256.

2. What are the Factors of 5458?

Answer: Factors of 5458 are 1, 2, 2729, 5458. There are 4 integers that are factors of 5458. The greatest factor of 5458 is 5458.

3. What are the Factors of 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

4. How to Find the LCM of 5458 and 5464?

Answer:

Least Common Multiple of 5458 and 5464 = 14911256

Step 1: Find the prime factorization of 5458

5458 = 2 x 2729

Step 2: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

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

LCM = 14911256 = 2 x 2 x 2 x 683 x 2729

Step 4: Therefore, the least common multiple of 5458 and 5464 is 14911256.