Least Common Multiple of 5460 and 5464

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 5464 the smallest integer that is 7458360 that is divisible by both numbers.

Least Common Multiple (LCM) of 5460 and 5464 is 7458360.

LCM(5460,5464) = 7458360

LCM of 5460 and 5464

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

LCM of:
and

Least Common Multiple of 5460 and 5464

LCM of 5460 and 5464 is 7458360

Least common multiple can be found by multiplying the highest exponent prime factors of 5460 and 5464. First we will calculate the prime factors of 5460 and 5464.

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 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 5460 and 5464.

LCM(5460,5464) = 23×31×51×71×131×6831
LCM(5460,5464) = 7458360

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 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1, 2, 4, 8, 683, 1366, 2732, 5464

Least Common Multiple of 5460 and 5464 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 5464, than apply into the LCM equation.

GCF(5460,5464) = 4
LCM(5460,5464) = ( 5460 × 5464) / 4
LCM(5460,5464) = 29833440 / 4
LCM(5460,5464) = 7458360

Properties of LCM 5460 and 5464

(i) The LCM of 5464 and 5460 is associative

LCM of 5460 and 5464 = LCM of 5464 and 5460

Related Least Common Multiples of 5460

Related Least Common Multiples of 5464

Frequently Asked Questions on LCM of 5460 and 5464

1. What is the LCM of 5460 and 5464?

Answer: LCM of 5460 and 5464 is 7458360.

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 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

4. How to Find the LCM of 5460 and 5464?

Answer:

Least Common Multiple of 5460 and 5464 = 7458360

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 5464

5464 = 2 x 2 x 2 x 683

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

LCM = 7458360 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 683

Step 4: Therefore, the least common multiple of 5460 and 5464 is 7458360.