Least Common Multiple of 5374 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 5374 and 5379 the smallest integer that is 28906746 that is divisible by both numbers.

Least Common Multiple (LCM) of 5374 and 5379 is 28906746.

LCM(5374,5379) = 28906746

LCM of 5374 and 5379

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

LCM of:
and

Least Common Multiple of 5374 and 5379

LCM of 5374 and 5379 is 28906746

Least common multiple can be found by multiplying the highest exponent prime factors of 5374 and 5379. First we will calculate the prime factors of 5374 and 5379.

Prime Factorization of 5374


2 5374
2687 2687
1

Prime factors of 5374 are 2,2687. Prime factorization of 5374 in exponential form is:

5374 = 21×26871

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 5374 and 5379.

LCM(5374,5379) = 21×31×111×1631×26871
LCM(5374,5379) = 28906746

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1, 2, 2687, 5374

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 5374 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 5374 and 5379, than apply into the LCM equation.

GCF(5374,5379) = 1
LCM(5374,5379) = ( 5374 × 5379) / 1
LCM(5374,5379) = 28906746 / 1
LCM(5374,5379) = 28906746

Properties of LCM 5374 and 5379

(i) The LCM of 5379 and 5374 is associative

LCM of 5374 and 5379 = LCM of 5379 and 5374

Related Least Common Multiples of 5374

Related Least Common Multiples of 5379

Frequently Asked Questions on LCM of 5374 and 5379

1. What is the LCM of 5374 and 5379?

Answer: LCM of 5374 and 5379 is 28906746.

2. What are the Factors of 5374?

Answer: Factors of 5374 are 1, 2, 2687, 5374. There are 4 integers that are factors of 5374. The greatest factor of 5374 is 5374.

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 5374 and 5379?

Answer:

Least Common Multiple of 5374 and 5379 = 28906746

Step 1: Find the prime factorization of 5374

5374 = 2 x 2687

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 = 28906746 = 2 x 3 x 11 x 163 x 2687

Step 4: Therefore, the least common multiple of 5374 and 5379 is 28906746.