Least Common Multiple of 5377 and 5384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5377 and 5384 the smallest integer that is 28949768 that is divisible by both numbers.

Least Common Multiple (LCM) of 5377 and 5384 is 28949768.

LCM(5377,5384) = 28949768

LCM of 5377 and 5384

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

LCM of:
and

Least Common Multiple of 5377 and 5384

LCM of 5377 and 5384 is 28949768

Least common multiple can be found by multiplying the highest exponent prime factors of 5377 and 5384. First we will calculate the prime factors of 5377 and 5384.

Prime Factorization of 5377


19 5377
283 283
1

Prime factors of 5377 are 19,283. Prime factorization of 5377 in exponential form is:

5377 = 191×2831

Prime Factorization of 5384


2 5384
2 2692
2 1346
673 673
1

Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:

5384 = 23×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 5377 and 5384.

LCM(5377,5384) = 23×191×2831×6731
LCM(5377,5384) = 28949768

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1, 19, 283, 5377

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1, 2, 4, 8, 673, 1346, 2692, 5384

Least Common Multiple of 5377 and 5384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5377 and 5384, than apply into the LCM equation.

GCF(5377,5384) = 1
LCM(5377,5384) = ( 5377 × 5384) / 1
LCM(5377,5384) = 28949768 / 1
LCM(5377,5384) = 28949768

Properties of LCM 5377 and 5384

(i) The LCM of 5384 and 5377 is associative

LCM of 5377 and 5384 = LCM of 5384 and 5377

Related Least Common Multiples of 5377

Related Least Common Multiples of 5384

Frequently Asked Questions on LCM of 5377 and 5384

1. What is the LCM of 5377 and 5384?

Answer: LCM of 5377 and 5384 is 28949768.

2. What are the Factors of 5377?

Answer: Factors of 5377 are 1, 19, 283, 5377. There are 4 integers that are factors of 5377. The greatest factor of 5377 is 5377.

3. What are the Factors of 5384?

Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.

4. How to Find the LCM of 5377 and 5384?

Answer:

Least Common Multiple of 5377 and 5384 = 28949768

Step 1: Find the prime factorization of 5377

5377 = 19 x 283

Step 2: Find the prime factorization of 5384

5384 = 2 x 2 x 2 x 673

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

LCM = 28949768 = 2 x 2 x 2 x 19 x 283 x 673

Step 4: Therefore, the least common multiple of 5377 and 5384 is 28949768.