Least Common Multiple of 5414 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 5414 and 5420 the smallest integer that is 14671940 that is divisible by both numbers.

Least Common Multiple (LCM) of 5414 and 5420 is 14671940.

LCM(5414,5420) = 14671940

LCM of 5414 and 5420

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

LCM of:
and

Least Common Multiple of 5414 and 5420

LCM of 5414 and 5420 is 14671940

Least common multiple can be found by multiplying the highest exponent prime factors of 5414 and 5420. First we will calculate the prime factors of 5414 and 5420.

Prime Factorization of 5414


2 5414
2707 2707
1

Prime factors of 5414 are 2,2707. Prime factorization of 5414 in exponential form is:

5414 = 21×27071

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 5414 and 5420.

LCM(5414,5420) = 22×51×2711×27071
LCM(5414,5420) = 14671940

Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707, 5414

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 5414 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 5414 and 5420, than apply into the LCM equation.

GCF(5414,5420) = 2
LCM(5414,5420) = ( 5414 × 5420) / 2
LCM(5414,5420) = 29343880 / 2
LCM(5414,5420) = 14671940

Properties of LCM 5414 and 5420

(i) The LCM of 5420 and 5414 is associative

LCM of 5414 and 5420 = LCM of 5420 and 5414

Related Least Common Multiples of 5414

Related Least Common Multiples of 5420

Frequently Asked Questions on LCM of 5414 and 5420

1. What is the LCM of 5414 and 5420?

Answer: LCM of 5414 and 5420 is 14671940.

2. What are the Factors of 5414?

Answer: Factors of 5414 are 1, 2, 2707, 5414. There are 4 integers that are factors of 5414. The greatest factor of 5414 is 5414.

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 5414 and 5420?

Answer:

Least Common Multiple of 5414 and 5420 = 14671940

Step 1: Find the prime factorization of 5414

5414 = 2 x 2707

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 = 14671940 = 2 x 2 x 5 x 271 x 2707

Step 4: Therefore, the least common multiple of 5414 and 5420 is 14671940.