Least Common Multiple of 5454 and 5458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5454 and 5458 the smallest integer that is 14883966 that is divisible by both numbers.

Least Common Multiple (LCM) of 5454 and 5458 is 14883966.

LCM(5454,5458) = 14883966

LCM of 5454 and 5458

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

LCM of:
and

Least Common Multiple of 5454 and 5458

LCM of 5454 and 5458 is 14883966

Least common multiple can be found by multiplying the highest exponent prime factors of 5454 and 5458. First we will calculate the prime factors of 5454 and 5458.

Prime Factorization of 5454


2 5454
3 2727
3 909
3 303
101 101
1

Prime factors of 5454 are 2, 3,101. Prime factorization of 5454 in exponential form is:

5454 = 21×33×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5454 and 5458.

LCM(5454,5458) = 21×33×1011×27291
LCM(5454,5458) = 14883966

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454

Factors of 5458

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

1, 2, 2729, 5458

Least Common Multiple of 5454 and 5458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5454 and 5458, than apply into the LCM equation.

GCF(5454,5458) = 2
LCM(5454,5458) = ( 5454 × 5458) / 2
LCM(5454,5458) = 29767932 / 2
LCM(5454,5458) = 14883966

Properties of LCM 5454 and 5458

(i) The LCM of 5458 and 5454 is associative

LCM of 5454 and 5458 = LCM of 5458 and 5454

Related Least Common Multiples of 5454

Related Least Common Multiples of 5458

Frequently Asked Questions on LCM of 5454 and 5458

1. What is the LCM of 5454 and 5458?

Answer: LCM of 5454 and 5458 is 14883966.

2. What are the Factors of 5454?

Answer: Factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454. There are 16 integers that are factors of 5454. The greatest factor of 5454 is 5454.

3. 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.

4. How to Find the LCM of 5454 and 5458?

Answer:

Least Common Multiple of 5454 and 5458 = 14883966

Step 1: Find the prime factorization of 5454

5454 = 2 x 3 x 3 x 3 x 101

Step 2: Find the prime factorization of 5458

5458 = 2 x 2729

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

LCM = 14883966 = 2 x 3 x 3 x 3 x 101 x 2729

Step 4: Therefore, the least common multiple of 5454 and 5458 is 14883966.