Least Common Multiple of 5274 and 5280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5274 and 5280 the smallest integer that is 4641120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5274 and 5280 is 4641120.

LCM(5274,5280) = 4641120

LCM of 5274 and 5280

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

LCM of:
and

Least Common Multiple of 5274 and 5280

LCM of 5274 and 5280 is 4641120

Least common multiple can be found by multiplying the highest exponent prime factors of 5274 and 5280. First we will calculate the prime factors of 5274 and 5280.

Prime Factorization of 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2, 3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

Prime Factorization of 5280


2 5280
2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 5280 are 2, 3, 5,11. Prime factorization of 5280 in exponential form is:

5280 = 25×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5274 and 5280.

LCM(5274,5280) = 25×32×51×111×2931
LCM(5274,5280) = 4641120

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280

Least Common Multiple of 5274 and 5280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5274 and 5280, than apply into the LCM equation.

GCF(5274,5280) = 6
LCM(5274,5280) = ( 5274 × 5280) / 6
LCM(5274,5280) = 27846720 / 6
LCM(5274,5280) = 4641120

Properties of LCM 5274 and 5280

(i) The LCM of 5280 and 5274 is associative

LCM of 5274 and 5280 = LCM of 5280 and 5274

Related Least Common Multiples of 5274

Related Least Common Multiples of 5280

Frequently Asked Questions on LCM of 5274 and 5280

1. What is the LCM of 5274 and 5280?

Answer: LCM of 5274 and 5280 is 4641120.

2. What are the Factors of 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

3. What are the Factors of 5280?

Answer: Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. There are 48 integers that are factors of 5280. The greatest factor of 5280 is 5280.

4. How to Find the LCM of 5274 and 5280?

Answer:

Least Common Multiple of 5274 and 5280 = 4641120

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5280

5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11

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

LCM = 4641120 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 293

Step 4: Therefore, the least common multiple of 5274 and 5280 is 4641120.