Least Common Multiple of 4267 and 4273

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 4273 the smallest integer that is 18232891 that is divisible by both numbers.

Least Common Multiple (LCM) of 4267 and 4273 is 18232891.

LCM(4267,4273) = 18232891

LCM of 4267 and 4273

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

LCM of:
and

Least Common Multiple of 4267 and 4273

LCM of 4267 and 4273 is 18232891

Least common multiple can be found by multiplying the highest exponent prime factors of 4267 and 4273. First we will calculate the prime factors of 4267 and 4273.

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 4273


4273 4273
1

Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:

4273 = 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 4267 and 4273.

LCM(4267,4273) = 171×2511×42731
LCM(4267,4273) = 18232891

Factors of 4267

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

1, 17, 251, 4267

Factors of 4273

List of positive integer factors of 4273 that divides 4273 without a remainder.

1, 4273

Least Common Multiple of 4267 and 4273 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 4273, than apply into the LCM equation.

GCF(4267,4273) = 1
LCM(4267,4273) = ( 4267 × 4273) / 1
LCM(4267,4273) = 18232891 / 1
LCM(4267,4273) = 18232891

Properties of LCM 4267 and 4273

(i) The LCM of 4273 and 4267 is associative

LCM of 4267 and 4273 = LCM of 4273 and 4267

Frequently Asked Questions on LCM of 4267 and 4273

1. What is the LCM of 4267 and 4273?

Answer: LCM of 4267 and 4273 is 18232891.

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 4273?

Answer: Factors of 4273 are 1, 4273. There are 2 integers that are factors of 4273. The greatest factor of 4273 is 4273.

4. How to Find the LCM of 4267 and 4273?

Answer:

Least Common Multiple of 4267 and 4273 = 18232891

Step 1: Find the prime factorization of 4267

4267 = 17 x 251

Step 2: Find the prime factorization of 4273

4273 = 4273

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

LCM = 18232891 = 17 x 251 x 4273

Step 4: Therefore, the least common multiple of 4267 and 4273 is 18232891.