Least Common Multiple of 4369 and 4375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4369 and 4375 the smallest integer that is 19114375 that is divisible by both numbers.

Least Common Multiple (LCM) of 4369 and 4375 is 19114375.

LCM(4369,4375) = 19114375

LCM of 4369 and 4375

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

LCM of:
and

Least Common Multiple of 4369 and 4375

LCM of 4369 and 4375 is 19114375

Least common multiple can be found by multiplying the highest exponent prime factors of 4369 and 4375. First we will calculate the prime factors of 4369 and 4375.

Prime Factorization of 4369


17 4369
257 257
1

Prime factors of 4369 are 17,257. Prime factorization of 4369 in exponential form is:

4369 = 171×2571

Prime Factorization of 4375


5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 4375 are 5,7. Prime factorization of 4375 in exponential form is:

4375 = 54×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4369 and 4375.

LCM(4369,4375) = 54×71×171×2571
LCM(4369,4375) = 19114375

Factors of 4369

List of positive integer factors of 4369 that divides 4369 without a remainder.

1, 17, 257, 4369

Factors of 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1, 5, 7, 25, 35, 125, 175, 625, 875, 4375

Least Common Multiple of 4369 and 4375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4369 and 4375, than apply into the LCM equation.

GCF(4369,4375) = 1
LCM(4369,4375) = ( 4369 × 4375) / 1
LCM(4369,4375) = 19114375 / 1
LCM(4369,4375) = 19114375

Properties of LCM 4369 and 4375

(i) The LCM of 4375 and 4369 is associative

LCM of 4369 and 4375 = LCM of 4375 and 4369

Related Least Common Multiples of 4369

Related Least Common Multiples of 4375

Frequently Asked Questions on LCM of 4369 and 4375

1. What is the LCM of 4369 and 4375?

Answer: LCM of 4369 and 4375 is 19114375.

2. What are the Factors of 4369?

Answer: Factors of 4369 are 1, 17, 257, 4369. There are 4 integers that are factors of 4369. The greatest factor of 4369 is 4369.

3. What are the Factors of 4375?

Answer: Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. There are 10 integers that are factors of 4375. The greatest factor of 4375 is 4375.

4. How to Find the LCM of 4369 and 4375?

Answer:

Least Common Multiple of 4369 and 4375 = 19114375

Step 1: Find the prime factorization of 4369

4369 = 17 x 257

Step 2: Find the prime factorization of 4375

4375 = 5 x 5 x 5 x 5 x 7

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

LCM = 19114375 = 5 x 5 x 5 x 5 x 7 x 17 x 257

Step 4: Therefore, the least common multiple of 4369 and 4375 is 19114375.