Least Common Multiple of 5460 and 5468

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 5468 the smallest integer that is 7463820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5460 and 5468 is 7463820.

LCM(5460,5468) = 7463820

LCM of 5460 and 5468

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

LCM of:
and

Least Common Multiple of 5460 and 5468

LCM of 5460 and 5468 is 7463820

Least common multiple can be found by multiplying the highest exponent prime factors of 5460 and 5468. First we will calculate the prime factors of 5460 and 5468.

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 5468


2 5468
2 2734
1367 1367
1

Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:

5468 = 22×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 5460 and 5468.

LCM(5460,5468) = 22×31×51×71×131×13671
LCM(5460,5468) = 7463820

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 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1, 2, 4, 1367, 2734, 5468

Least Common Multiple of 5460 and 5468 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 5468, than apply into the LCM equation.

GCF(5460,5468) = 4
LCM(5460,5468) = ( 5460 × 5468) / 4
LCM(5460,5468) = 29855280 / 4
LCM(5460,5468) = 7463820

Properties of LCM 5460 and 5468

(i) The LCM of 5468 and 5460 is associative

LCM of 5460 and 5468 = LCM of 5468 and 5460

Related Least Common Multiples of 5460

Related Least Common Multiples of 5468

Frequently Asked Questions on LCM of 5460 and 5468

1. What is the LCM of 5460 and 5468?

Answer: LCM of 5460 and 5468 is 7463820.

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 5468?

Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.

4. How to Find the LCM of 5460 and 5468?

Answer:

Least Common Multiple of 5460 and 5468 = 7463820

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 5468

5468 = 2 x 2 x 1367

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

LCM = 7463820 = 2 x 2 x 3 x 5 x 7 x 13 x 1367

Step 4: Therefore, the least common multiple of 5460 and 5468 is 7463820.