Least Common Multiple of 5460 and 5465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5460 and 5465 the smallest integer that is 5967780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5460 and 5465 is 5967780.

LCM(5460,5465) = 5967780

LCM of 5460 and 5465

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

LCM of:
and

Least Common Multiple of 5460 and 5465

LCM of 5460 and 5465 is 5967780

Least common multiple can be found by multiplying the highest exponent prime factors of 5460 and 5465. First we will calculate the prime factors of 5460 and 5465.

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

Prime Factorization of 5465


5 5465
1093 1093
1

Prime factors of 5465 are 5,1093. Prime factorization of 5465 in exponential form is:

5465 = 51×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 5460 and 5465.

LCM(5460,5465) = 22×31×51×71×131×10931
LCM(5460,5465) = 5967780

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

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1, 5, 1093, 5465

Least Common Multiple of 5460 and 5465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5460 and 5465, than apply into the LCM equation.

GCF(5460,5465) = 5
LCM(5460,5465) = ( 5460 × 5465) / 5
LCM(5460,5465) = 29838900 / 5
LCM(5460,5465) = 5967780

Properties of LCM 5460 and 5465

(i) The LCM of 5465 and 5460 is associative

LCM of 5460 and 5465 = LCM of 5465 and 5460

Related Least Common Multiples of 5460

Related Least Common Multiples of 5465

Frequently Asked Questions on LCM of 5460 and 5465

1. What is the LCM of 5460 and 5465?

Answer: LCM of 5460 and 5465 is 5967780.

2. 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.

3. What are the Factors of 5465?

Answer: Factors of 5465 are 1, 5, 1093, 5465. There are 4 integers that are factors of 5465. The greatest factor of 5465 is 5465.

4. How to Find the LCM of 5460 and 5465?

Answer:

Least Common Multiple of 5460 and 5465 = 5967780

Step 1: Find the prime factorization of 5460

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

Step 2: Find the prime factorization of 5465

5465 = 5 x 1093

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

LCM = 5967780 = 2 x 2 x 3 x 5 x 7 x 13 x 1093

Step 4: Therefore, the least common multiple of 5460 and 5465 is 5967780.