Least Common Multiple of 5454 and 5455

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 5455 the smallest integer that is 29751570 that is divisible by both numbers.

Least Common Multiple (LCM) of 5454 and 5455 is 29751570.

LCM(5454,5455) = 29751570

LCM of 5454 and 5455

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

LCM of:
and

Least Common Multiple of 5454 and 5455

LCM of 5454 and 5455 is 29751570

Least common multiple can be found by multiplying the highest exponent prime factors of 5454 and 5455. First we will calculate the prime factors of 5454 and 5455.

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 5455


5 5455
1091 1091
1

Prime factors of 5455 are 5,1091. Prime factorization of 5455 in exponential form is:

5455 = 51×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 5454 and 5455.

LCM(5454,5455) = 21×33×51×1011×10911
LCM(5454,5455) = 29751570

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 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1, 5, 1091, 5455

Least Common Multiple of 5454 and 5455 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 5455, than apply into the LCM equation.

GCF(5454,5455) = 1
LCM(5454,5455) = ( 5454 × 5455) / 1
LCM(5454,5455) = 29751570 / 1
LCM(5454,5455) = 29751570

Properties of LCM 5454 and 5455

(i) The LCM of 5455 and 5454 is associative

LCM of 5454 and 5455 = LCM of 5455 and 5454

Related Least Common Multiples of 5454

Related Least Common Multiples of 5455

Frequently Asked Questions on LCM of 5454 and 5455

1. What is the LCM of 5454 and 5455?

Answer: LCM of 5454 and 5455 is 29751570.

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 5455?

Answer: Factors of 5455 are 1, 5, 1091, 5455. There are 4 integers that are factors of 5455. The greatest factor of 5455 is 5455.

4. How to Find the LCM of 5454 and 5455?

Answer:

Least Common Multiple of 5454 and 5455 = 29751570

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 5455

5455 = 5 x 1091

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

LCM = 29751570 = 2 x 3 x 3 x 3 x 5 x 101 x 1091

Step 4: Therefore, the least common multiple of 5454 and 5455 is 29751570.