Least Common Multiple of 5455 and 5460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5455 and 5460 the smallest integer that is 5956860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5455 and 5460 is 5956860.

LCM(5455,5460) = 5956860

LCM of 5455 and 5460

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

LCM of:
and

Least Common Multiple of 5455 and 5460

LCM of 5455 and 5460 is 5956860

Least common multiple can be found by multiplying the highest exponent prime factors of 5455 and 5460. First we will calculate the prime factors of 5455 and 5460.

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

Prime Factorization of 5460


2 5460
2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 5460 are 2, 3, 5, 7,13. Prime factorization of 5460 in exponential form is:

5460 = 22×31×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5455 and 5460.

LCM(5455,5460) = 22×31×51×71×131×10911
LCM(5455,5460) = 5956860

Factors of 5455

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

1, 5, 1091, 5455

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460

Least Common Multiple of 5455 and 5460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5455 and 5460, than apply into the LCM equation.

GCF(5455,5460) = 5
LCM(5455,5460) = ( 5455 × 5460) / 5
LCM(5455,5460) = 29784300 / 5
LCM(5455,5460) = 5956860

Properties of LCM 5455 and 5460

(i) The LCM of 5460 and 5455 is associative

LCM of 5455 and 5460 = LCM of 5460 and 5455

Related Least Common Multiples of 5455

Related Least Common Multiples of 5460

Frequently Asked Questions on LCM of 5455 and 5460

1. What is the LCM of 5455 and 5460?

Answer: LCM of 5455 and 5460 is 5956860.

2. 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.

3. What are the Factors of 5460?

Answer: Factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460. There are 48 integers that are factors of 5460. The greatest factor of 5460 is 5460.

4. How to Find the LCM of 5455 and 5460?

Answer:

Least Common Multiple of 5455 and 5460 = 5956860

Step 1: Find the prime factorization of 5455

5455 = 5 x 1091

Step 2: Find the prime factorization of 5460

5460 = 2 x 2 x 3 x 5 x 7 x 13

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

LCM = 5956860 = 2 x 2 x 3 x 5 x 7 x 13 x 1091

Step 4: Therefore, the least common multiple of 5455 and 5460 is 5956860.