Least Common Multiple of 5415 and 5420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5415 and 5420 the smallest integer that is 5869860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5415 and 5420 is 5869860.

LCM(5415,5420) = 5869860

LCM of 5415 and 5420

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

LCM of:
and

Least Common Multiple of 5415 and 5420

LCM of 5415 and 5420 is 5869860

Least common multiple can be found by multiplying the highest exponent prime factors of 5415 and 5420. First we will calculate the prime factors of 5415 and 5420.

Prime Factorization of 5415


3 5415
5 1805
19 361
19 19
1

Prime factors of 5415 are 3, 5,19. Prime factorization of 5415 in exponential form is:

5415 = 31×51×192

Prime Factorization of 5420


2 5420
2 2710
5 1355
271 271
1

Prime factors of 5420 are 2, 5,271. Prime factorization of 5420 in exponential form is:

5420 = 22×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 5415 and 5420.

LCM(5415,5420) = 22×31×51×192×2711
LCM(5415,5420) = 5869860

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

Least Common Multiple of 5415 and 5420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5415 and 5420, than apply into the LCM equation.

GCF(5415,5420) = 5
LCM(5415,5420) = ( 5415 × 5420) / 5
LCM(5415,5420) = 29349300 / 5
LCM(5415,5420) = 5869860

Properties of LCM 5415 and 5420

(i) The LCM of 5420 and 5415 is associative

LCM of 5415 and 5420 = LCM of 5420 and 5415

Related Least Common Multiples of 5415

Related Least Common Multiples of 5420

Frequently Asked Questions on LCM of 5415 and 5420

1. What is the LCM of 5415 and 5420?

Answer: LCM of 5415 and 5420 is 5869860.

2. What are the Factors of 5415?

Answer: Factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415. There are 12 integers that are factors of 5415. The greatest factor of 5415 is 5415.

3. What are the Factors of 5420?

Answer: Factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420. There are 12 integers that are factors of 5420. The greatest factor of 5420 is 5420.

4. How to Find the LCM of 5415 and 5420?

Answer:

Least Common Multiple of 5415 and 5420 = 5869860

Step 1: Find the prime factorization of 5415

5415 = 3 x 5 x 19 x 19

Step 2: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

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

LCM = 5869860 = 2 x 2 x 3 x 5 x 19 x 19 x 271

Step 4: Therefore, the least common multiple of 5415 and 5420 is 5869860.