Least Common Multiple of 4267 and 4274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4267 and 4274 the smallest integer that is 18237158 that is divisible by both numbers.

Least Common Multiple (LCM) of 4267 and 4274 is 18237158.

LCM(4267,4274) = 18237158

LCM of 4267 and 4274

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

LCM of:
and

Least Common Multiple of 4267 and 4274

LCM of 4267 and 4274 is 18237158

Least common multiple can be found by multiplying the highest exponent prime factors of 4267 and 4274. First we will calculate the prime factors of 4267 and 4274.

Prime Factorization of 4267


17 4267
251 251
1

Prime factors of 4267 are 17,251. Prime factorization of 4267 in exponential form is:

4267 = 171×2511

Prime Factorization of 4274


2 4274
2137 2137
1

Prime factors of 4274 are 2,2137. Prime factorization of 4274 in exponential form is:

4274 = 21×21371

Now multiplying the highest exponent prime factors to calculate the LCM of 4267 and 4274.

LCM(4267,4274) = 21×171×2511×21371
LCM(4267,4274) = 18237158

Factors of 4267

List of positive integer factors of 4267 that divides 4267 without a remainder.

1, 17, 251, 4267

Factors of 4274

List of positive integer factors of 4274 that divides 4274 without a remainder.

1, 2, 2137, 4274

Least Common Multiple of 4267 and 4274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4267 and 4274, than apply into the LCM equation.

GCF(4267,4274) = 1
LCM(4267,4274) = ( 4267 × 4274) / 1
LCM(4267,4274) = 18237158 / 1
LCM(4267,4274) = 18237158

Properties of LCM 4267 and 4274

(i) The LCM of 4274 and 4267 is associative

LCM of 4267 and 4274 = LCM of 4274 and 4267

Related Least Common Multiples of 4267

Related Least Common Multiples of 4274

Frequently Asked Questions on LCM of 4267 and 4274

1. What is the LCM of 4267 and 4274?

Answer: LCM of 4267 and 4274 is 18237158.

2. What are the Factors of 4267?

Answer: Factors of 4267 are 1, 17, 251, 4267. There are 4 integers that are factors of 4267. The greatest factor of 4267 is 4267.

3. What are the Factors of 4274?

Answer: Factors of 4274 are 1, 2, 2137, 4274. There are 4 integers that are factors of 4274. The greatest factor of 4274 is 4274.

4. How to Find the LCM of 4267 and 4274?

Answer:

Least Common Multiple of 4267 and 4274 = 18237158

Step 1: Find the prime factorization of 4267

4267 = 17 x 251

Step 2: Find the prime factorization of 4274

4274 = 2 x 2137

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

LCM = 18237158 = 2 x 17 x 251 x 2137

Step 4: Therefore, the least common multiple of 4267 and 4274 is 18237158.