Least Common Multiple of 4264 and 4269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4264 and 4269 the smallest integer that is 18203016 that is divisible by both numbers.

Least Common Multiple (LCM) of 4264 and 4269 is 18203016.

LCM(4264,4269) = 18203016

LCM of 4264 and 4269

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

LCM of:
and

Least Common Multiple of 4264 and 4269

LCM of 4264 and 4269 is 18203016

Least common multiple can be found by multiplying the highest exponent prime factors of 4264 and 4269. First we will calculate the prime factors of 4264 and 4269.

Prime Factorization of 4264


2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 4264 are 2, 13,41. Prime factorization of 4264 in exponential form is:

4264 = 23×131×411

Prime Factorization of 4269


3 4269
1423 1423
1

Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:

4269 = 31×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 4264 and 4269.

LCM(4264,4269) = 23×31×131×411×14231
LCM(4264,4269) = 18203016

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1, 3, 1423, 4269

Least Common Multiple of 4264 and 4269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4264 and 4269, than apply into the LCM equation.

GCF(4264,4269) = 1
LCM(4264,4269) = ( 4264 × 4269) / 1
LCM(4264,4269) = 18203016 / 1
LCM(4264,4269) = 18203016

Properties of LCM 4264 and 4269

(i) The LCM of 4269 and 4264 is associative

LCM of 4264 and 4269 = LCM of 4269 and 4264

Related Least Common Multiples of 4264

Related Least Common Multiples of 4269

Frequently Asked Questions on LCM of 4264 and 4269

1. What is the LCM of 4264 and 4269?

Answer: LCM of 4264 and 4269 is 18203016.

2. What are the Factors of 4264?

Answer: Factors of 4264 are 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264. There are 16 integers that are factors of 4264. The greatest factor of 4264 is 4264.

3. What are the Factors of 4269?

Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.

4. How to Find the LCM of 4264 and 4269?

Answer:

Least Common Multiple of 4264 and 4269 = 18203016

Step 1: Find the prime factorization of 4264

4264 = 2 x 2 x 2 x 13 x 41

Step 2: Find the prime factorization of 4269

4269 = 3 x 1423

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

LCM = 18203016 = 2 x 2 x 2 x 3 x 13 x 41 x 1423

Step 4: Therefore, the least common multiple of 4264 and 4269 is 18203016.