Least Common Multiple of 4364 and 4369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4364 and 4369 the smallest integer that is 19066316 that is divisible by both numbers.

Least Common Multiple (LCM) of 4364 and 4369 is 19066316.

LCM(4364,4369) = 19066316

LCM of 4364 and 4369

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

LCM of:
and

Least Common Multiple of 4364 and 4369

LCM of 4364 and 4369 is 19066316

Least common multiple can be found by multiplying the highest exponent prime factors of 4364 and 4369. First we will calculate the prime factors of 4364 and 4369.

Prime Factorization of 4364


2 4364
2 2182
1091 1091
1

Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:

4364 = 22×10911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4364 and 4369.

LCM(4364,4369) = 22×171×2571×10911
LCM(4364,4369) = 19066316

Factors of 4364

List of positive integer factors of 4364 that divides 4364 without a remainder.

1, 2, 4, 1091, 2182, 4364

Factors of 4369

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

1, 17, 257, 4369

Least Common Multiple of 4364 and 4369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4364 and 4369, than apply into the LCM equation.

GCF(4364,4369) = 1
LCM(4364,4369) = ( 4364 × 4369) / 1
LCM(4364,4369) = 19066316 / 1
LCM(4364,4369) = 19066316

Properties of LCM 4364 and 4369

(i) The LCM of 4369 and 4364 is associative

LCM of 4364 and 4369 = LCM of 4369 and 4364

Related Least Common Multiples of 4364

Related Least Common Multiples of 4369

Frequently Asked Questions on LCM of 4364 and 4369

1. What is the LCM of 4364 and 4369?

Answer: LCM of 4364 and 4369 is 19066316.

2. What are the Factors of 4364?

Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.

3. 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.

4. How to Find the LCM of 4364 and 4369?

Answer:

Least Common Multiple of 4364 and 4369 = 19066316

Step 1: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

Step 2: Find the prime factorization of 4369

4369 = 17 x 257

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

LCM = 19066316 = 2 x 2 x 17 x 257 x 1091

Step 4: Therefore, the least common multiple of 4364 and 4369 is 19066316.