Least Common Multiple of 5367 and 5374

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 5374 the smallest integer that is 28842258 that is divisible by both numbers.

Least Common Multiple (LCM) of 5367 and 5374 is 28842258.

LCM(5367,5374) = 28842258

LCM of 5367 and 5374

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

LCM of:
and

Least Common Multiple of 5367 and 5374

LCM of 5367 and 5374 is 28842258

Least common multiple can be found by multiplying the highest exponent prime factors of 5367 and 5374. First we will calculate the prime factors of 5367 and 5374.

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 5374


2 5374
2687 2687
1

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

5374 = 21×26871

Now multiplying the highest exponent prime factors to calculate the LCM of 5367 and 5374.

LCM(5367,5374) = 21×31×17891×26871
LCM(5367,5374) = 28842258

Factors of 5367

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

1, 3, 1789, 5367

Factors of 5374

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

1, 2, 2687, 5374

Least Common Multiple of 5367 and 5374 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 5374, than apply into the LCM equation.

GCF(5367,5374) = 1
LCM(5367,5374) = ( 5367 × 5374) / 1
LCM(5367,5374) = 28842258 / 1
LCM(5367,5374) = 28842258

Properties of LCM 5367 and 5374

(i) The LCM of 5374 and 5367 is associative

LCM of 5367 and 5374 = LCM of 5374 and 5367

Related Least Common Multiples of 5367

Related Least Common Multiples of 5374

Frequently Asked Questions on LCM of 5367 and 5374

1. What is the LCM of 5367 and 5374?

Answer: LCM of 5367 and 5374 is 28842258.

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 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.

4. How to Find the LCM of 5367 and 5374?

Answer:

Least Common Multiple of 5367 and 5374 = 28842258

Step 1: Find the prime factorization of 5367

5367 = 3 x 1789

Step 2: Find the prime factorization of 5374

5374 = 2 x 2687

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

LCM = 28842258 = 2 x 3 x 1789 x 2687

Step 4: Therefore, the least common multiple of 5367 and 5374 is 28842258.