Least Common Multiple of 4269 and 4270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4269 and 4270 the smallest integer that is 18228630 that is divisible by both numbers.

Least Common Multiple (LCM) of 4269 and 4270 is 18228630.

LCM(4269,4270) = 18228630

LCM of 4269 and 4270

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

LCM of:
and

Least Common Multiple of 4269 and 4270

LCM of 4269 and 4270 is 18228630

Least common multiple can be found by multiplying the highest exponent prime factors of 4269 and 4270. First we will calculate the prime factors of 4269 and 4270.

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

Prime Factorization of 4270


2 4270
5 2135
7 427
61 61
1

Prime factors of 4270 are 2, 5, 7,61. Prime factorization of 4270 in exponential form is:

4270 = 21×51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4269 and 4270.

LCM(4269,4270) = 21×31×51×71×611×14231
LCM(4269,4270) = 18228630

Factors of 4269

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

1, 3, 1423, 4269

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270

Least Common Multiple of 4269 and 4270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4269 and 4270, than apply into the LCM equation.

GCF(4269,4270) = 1
LCM(4269,4270) = ( 4269 × 4270) / 1
LCM(4269,4270) = 18228630 / 1
LCM(4269,4270) = 18228630

Properties of LCM 4269 and 4270

(i) The LCM of 4270 and 4269 is associative

LCM of 4269 and 4270 = LCM of 4270 and 4269

Related Least Common Multiples of 4269

Related Least Common Multiples of 4270

Frequently Asked Questions on LCM of 4269 and 4270

1. What is the LCM of 4269 and 4270?

Answer: LCM of 4269 and 4270 is 18228630.

2. 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.

3. What are the Factors of 4270?

Answer: Factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. There are 16 integers that are factors of 4270. The greatest factor of 4270 is 4270.

4. How to Find the LCM of 4269 and 4270?

Answer:

Least Common Multiple of 4269 and 4270 = 18228630

Step 1: Find the prime factorization of 4269

4269 = 3 x 1423

Step 2: Find the prime factorization of 4270

4270 = 2 x 5 x 7 x 61

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

LCM = 18228630 = 2 x 3 x 5 x 7 x 61 x 1423

Step 4: Therefore, the least common multiple of 4269 and 4270 is 18228630.