Least Common Multiple of 5367 and 5373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5367 and 5373 the smallest integer that is 9612297 that is divisible by both numbers.

Least Common Multiple (LCM) of 5367 and 5373 is 9612297.

LCM(5367,5373) = 9612297

LCM of 5367 and 5373

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

LCM of:
and

Least Common Multiple of 5367 and 5373

LCM of 5367 and 5373 is 9612297

Least common multiple can be found by multiplying the highest exponent prime factors of 5367 and 5373. First we will calculate the prime factors of 5367 and 5373.

Prime Factorization of 5367


3 5367
1789 1789
1

Prime factors of 5367 are 3,1789. Prime factorization of 5367 in exponential form is:

5367 = 31×17891

Prime Factorization of 5373


3 5373
3 1791
3 597
199 199
1

Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:

5373 = 33×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5367 and 5373.

LCM(5367,5373) = 33×1991×17891
LCM(5367,5373) = 9612297

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1, 3, 1789, 5367

Factors of 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1, 3, 9, 27, 199, 597, 1791, 5373

Least Common Multiple of 5367 and 5373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5367 and 5373, than apply into the LCM equation.

GCF(5367,5373) = 3
LCM(5367,5373) = ( 5367 × 5373) / 3
LCM(5367,5373) = 28836891 / 3
LCM(5367,5373) = 9612297

Properties of LCM 5367 and 5373

(i) The LCM of 5373 and 5367 is associative

LCM of 5367 and 5373 = LCM of 5373 and 5367

Related Least Common Multiples of 5367

Related Least Common Multiples of 5373

Frequently Asked Questions on LCM of 5367 and 5373

1. What is the LCM of 5367 and 5373?

Answer: LCM of 5367 and 5373 is 9612297.

2. What are the Factors of 5367?

Answer: Factors of 5367 are 1, 3, 1789, 5367. There are 4 integers that are factors of 5367. The greatest factor of 5367 is 5367.

3. What are the Factors of 5373?

Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.

4. How to Find the LCM of 5367 and 5373?

Answer:

Least Common Multiple of 5367 and 5373 = 9612297

Step 1: Find the prime factorization of 5367

5367 = 3 x 1789

Step 2: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

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

LCM = 9612297 = 3 x 3 x 3 x 199 x 1789

Step 4: Therefore, the least common multiple of 5367 and 5373 is 9612297.