Least Common Multiple of 5372 and 5379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5372 and 5379 the smallest integer that is 28895988 that is divisible by both numbers.

Least Common Multiple (LCM) of 5372 and 5379 is 28895988.

LCM(5372,5379) = 28895988

LCM of 5372 and 5379

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

LCM of:
and

Least Common Multiple of 5372 and 5379

LCM of 5372 and 5379 is 28895988

Least common multiple can be found by multiplying the highest exponent prime factors of 5372 and 5379. First we will calculate the prime factors of 5372 and 5379.

Prime Factorization of 5372


2 5372
2 2686
17 1343
79 79
1

Prime factors of 5372 are 2, 17,79. Prime factorization of 5372 in exponential form is:

5372 = 22×171×791

Prime Factorization of 5379


3 5379
11 1793
163 163
1

Prime factors of 5379 are 3, 11,163. Prime factorization of 5379 in exponential form is:

5379 = 31×111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5372 and 5379.

LCM(5372,5379) = 22×31×111×171×791×1631
LCM(5372,5379) = 28895988

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1, 3, 11, 33, 163, 489, 1793, 5379

Least Common Multiple of 5372 and 5379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5372 and 5379, than apply into the LCM equation.

GCF(5372,5379) = 1
LCM(5372,5379) = ( 5372 × 5379) / 1
LCM(5372,5379) = 28895988 / 1
LCM(5372,5379) = 28895988

Properties of LCM 5372 and 5379

(i) The LCM of 5379 and 5372 is associative

LCM of 5372 and 5379 = LCM of 5379 and 5372

Related Least Common Multiples of 5372

Related Least Common Multiples of 5379

Frequently Asked Questions on LCM of 5372 and 5379

1. What is the LCM of 5372 and 5379?

Answer: LCM of 5372 and 5379 is 28895988.

2. What are the Factors of 5372?

Answer: Factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372. There are 12 integers that are factors of 5372. The greatest factor of 5372 is 5372.

3. What are the Factors of 5379?

Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.

4. How to Find the LCM of 5372 and 5379?

Answer:

Least Common Multiple of 5372 and 5379 = 28895988

Step 1: Find the prime factorization of 5372

5372 = 2 x 2 x 17 x 79

Step 2: Find the prime factorization of 5379

5379 = 3 x 11 x 163

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

LCM = 28895988 = 2 x 2 x 3 x 11 x 17 x 79 x 163

Step 4: Therefore, the least common multiple of 5372 and 5379 is 28895988.