Least Common Multiple of 4289 and 4295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4289 and 4295 the smallest integer that is 18421255 that is divisible by both numbers.

Least Common Multiple (LCM) of 4289 and 4295 is 18421255.

LCM(4289,4295) = 18421255

LCM of 4289 and 4295

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

LCM of:
and

Least Common Multiple of 4289 and 4295

LCM of 4289 and 4295 is 18421255

Least common multiple can be found by multiplying the highest exponent prime factors of 4289 and 4295. First we will calculate the prime factors of 4289 and 4295.

Prime Factorization of 4289


4289 4289
1

Prime factors of 4289 are 4289. Prime factorization of 4289 in exponential form is:

4289 = 42891

Prime Factorization of 4295


5 4295
859 859
1

Prime factors of 4295 are 5,859. Prime factorization of 4295 in exponential form is:

4295 = 51×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 4289 and 4295.

LCM(4289,4295) = 51×8591×42891
LCM(4289,4295) = 18421255

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1, 4289

Factors of 4295

List of positive integer factors of 4295 that divides 4295 without a remainder.

1, 5, 859, 4295

Least Common Multiple of 4289 and 4295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4289 and 4295, than apply into the LCM equation.

GCF(4289,4295) = 1
LCM(4289,4295) = ( 4289 × 4295) / 1
LCM(4289,4295) = 18421255 / 1
LCM(4289,4295) = 18421255

Properties of LCM 4289 and 4295

(i) The LCM of 4295 and 4289 is associative

LCM of 4289 and 4295 = LCM of 4295 and 4289

Related Least Common Multiples of 4289

Related Least Common Multiples of 4295

Frequently Asked Questions on LCM of 4289 and 4295

1. What is the LCM of 4289 and 4295?

Answer: LCM of 4289 and 4295 is 18421255.

2. What are the Factors of 4289?

Answer: Factors of 4289 are 1, 4289. There are 2 integers that are factors of 4289. The greatest factor of 4289 is 4289.

3. What are the Factors of 4295?

Answer: Factors of 4295 are 1, 5, 859, 4295. There are 4 integers that are factors of 4295. The greatest factor of 4295 is 4295.

4. How to Find the LCM of 4289 and 4295?

Answer:

Least Common Multiple of 4289 and 4295 = 18421255

Step 1: Find the prime factorization of 4289

4289 = 4289

Step 2: Find the prime factorization of 4295

4295 = 5 x 859

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

LCM = 18421255 = 5 x 859 x 4289

Step 4: Therefore, the least common multiple of 4289 and 4295 is 18421255.