Least Common Multiple of 7267 and 7274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7267 and 7274 the smallest integer that is 52860158 that is divisible by both numbers.

Least Common Multiple (LCM) of 7267 and 7274 is 52860158.

LCM(7267,7274) = 52860158

LCM of 7267 and 7274

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

LCM of:
and

Least Common Multiple of 7267 and 7274

LCM of 7267 and 7274 is 52860158

Least common multiple can be found by multiplying the highest exponent prime factors of 7267 and 7274. First we will calculate the prime factors of 7267 and 7274.

Prime Factorization of 7267


13 7267
13 559
43 43
1

Prime factors of 7267 are 13,43. Prime factorization of 7267 in exponential form is:

7267 = 132×431

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

Now multiplying the highest exponent prime factors to calculate the LCM of 7267 and 7274.

LCM(7267,7274) = 21×132×431×36371
LCM(7267,7274) = 52860158

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1, 13, 43, 169, 559, 7267

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1, 2, 3637, 7274

Least Common Multiple of 7267 and 7274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7267 and 7274, than apply into the LCM equation.

GCF(7267,7274) = 1
LCM(7267,7274) = ( 7267 × 7274) / 1
LCM(7267,7274) = 52860158 / 1
LCM(7267,7274) = 52860158

Properties of LCM 7267 and 7274

(i) The LCM of 7274 and 7267 is associative

LCM of 7267 and 7274 = LCM of 7274 and 7267

Related Least Common Multiples of 7267

Related Least Common Multiples of 7274

Frequently Asked Questions on LCM of 7267 and 7274

1. What is the LCM of 7267 and 7274?

Answer: LCM of 7267 and 7274 is 52860158.

2. What are the Factors of 7267?

Answer: Factors of 7267 are 1, 13, 43, 169, 559, 7267. There are 6 integers that are factors of 7267. The greatest factor of 7267 is 7267.

3. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

4. How to Find the LCM of 7267 and 7274?

Answer:

Least Common Multiple of 7267 and 7274 = 52860158

Step 1: Find the prime factorization of 7267

7267 = 13 x 13 x 43

Step 2: Find the prime factorization of 7274

7274 = 2 x 3637

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

LCM = 52860158 = 2 x 13 x 13 x 43 x 3637

Step 4: Therefore, the least common multiple of 7267 and 7274 is 52860158.