Least Common Multiple of 4262 and 4267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4262 and 4267 the smallest integer that is 18185954 that is divisible by both numbers.

Least Common Multiple (LCM) of 4262 and 4267 is 18185954.

LCM(4262,4267) = 18185954

LCM of 4262 and 4267

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

LCM of:
and

Least Common Multiple of 4262 and 4267

LCM of 4262 and 4267 is 18185954

Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4267. First we will calculate the prime factors of 4262 and 4267.

Prime Factorization of 4262


2 4262
2131 2131
1

Prime factors of 4262 are 2,2131. Prime factorization of 4262 in exponential form is:

4262 = 21×21311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4262 and 4267.

LCM(4262,4267) = 21×171×2511×21311
LCM(4262,4267) = 18185954

Factors of 4262

List of positive integer factors of 4262 that divides 4262 without a remainder.

1, 2, 2131, 4262

Factors of 4267

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

1, 17, 251, 4267

Least Common Multiple of 4262 and 4267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4262 and 4267, than apply into the LCM equation.

GCF(4262,4267) = 1
LCM(4262,4267) = ( 4262 × 4267) / 1
LCM(4262,4267) = 18185954 / 1
LCM(4262,4267) = 18185954

Properties of LCM 4262 and 4267

(i) The LCM of 4267 and 4262 is associative

LCM of 4262 and 4267 = LCM of 4267 and 4262

Related Least Common Multiples of 4262

Related Least Common Multiples of 4267

Frequently Asked Questions on LCM of 4262 and 4267

1. What is the LCM of 4262 and 4267?

Answer: LCM of 4262 and 4267 is 18185954.

2. What are the Factors of 4262?

Answer: Factors of 4262 are 1, 2, 2131, 4262. There are 4 integers that are factors of 4262. The greatest factor of 4262 is 4262.

3. 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.

4. How to Find the LCM of 4262 and 4267?

Answer:

Least Common Multiple of 4262 and 4267 = 18185954

Step 1: Find the prime factorization of 4262

4262 = 2 x 2131

Step 2: Find the prime factorization of 4267

4267 = 17 x 251

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

LCM = 18185954 = 2 x 17 x 251 x 2131

Step 4: Therefore, the least common multiple of 4262 and 4267 is 18185954.