Least Common Multiple of 5378 and 5380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5378 and 5380 the smallest integer that is 14466820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5378 and 5380 is 14466820.

LCM(5378,5380) = 14466820

LCM of 5378 and 5380

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

LCM of:
and

Least Common Multiple of 5378 and 5380

LCM of 5378 and 5380 is 14466820

Least common multiple can be found by multiplying the highest exponent prime factors of 5378 and 5380. First we will calculate the prime factors of 5378 and 5380.

Prime Factorization of 5378


2 5378
2689 2689
1

Prime factors of 5378 are 2,2689. Prime factorization of 5378 in exponential form is:

5378 = 21×26891

Prime Factorization of 5380


2 5380
2 2690
5 1345
269 269
1

Prime factors of 5380 are 2, 5,269. Prime factorization of 5380 in exponential form is:

5380 = 22×51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5378 and 5380.

LCM(5378,5380) = 22×51×2691×26891
LCM(5378,5380) = 14466820

Factors of 5378

List of positive integer factors of 5378 that divides 5378 without a remainder.

1, 2, 2689, 5378

Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380

Least Common Multiple of 5378 and 5380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5378 and 5380, than apply into the LCM equation.

GCF(5378,5380) = 2
LCM(5378,5380) = ( 5378 × 5380) / 2
LCM(5378,5380) = 28933640 / 2
LCM(5378,5380) = 14466820

Properties of LCM 5378 and 5380

(i) The LCM of 5380 and 5378 is associative

LCM of 5378 and 5380 = LCM of 5380 and 5378

Related Least Common Multiples of 5378

Related Least Common Multiples of 5380

Frequently Asked Questions on LCM of 5378 and 5380

1. What is the LCM of 5378 and 5380?

Answer: LCM of 5378 and 5380 is 14466820.

2. What are the Factors of 5378?

Answer: Factors of 5378 are 1, 2, 2689, 5378. There are 4 integers that are factors of 5378. The greatest factor of 5378 is 5378.

3. What are the Factors of 5380?

Answer: Factors of 5380 are 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380. There are 12 integers that are factors of 5380. The greatest factor of 5380 is 5380.

4. How to Find the LCM of 5378 and 5380?

Answer:

Least Common Multiple of 5378 and 5380 = 14466820

Step 1: Find the prime factorization of 5378

5378 = 2 x 2689

Step 2: Find the prime factorization of 5380

5380 = 2 x 2 x 5 x 269

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

LCM = 14466820 = 2 x 2 x 5 x 269 x 2689

Step 4: Therefore, the least common multiple of 5378 and 5380 is 14466820.