Least Common Multiple of 4357 and 4365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4357 and 4365 the smallest integer that is 19018305 that is divisible by both numbers.

Least Common Multiple (LCM) of 4357 and 4365 is 19018305.

LCM(4357,4365) = 19018305

LCM of 4357 and 4365

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

LCM of:
and

Least Common Multiple of 4357 and 4365

LCM of 4357 and 4365 is 19018305

Least common multiple can be found by multiplying the highest exponent prime factors of 4357 and 4365. First we will calculate the prime factors of 4357 and 4365.

Prime Factorization of 4357


4357 4357
1

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

Prime Factorization of 4365


3 4365
3 1455
5 485
97 97
1

Prime factors of 4365 are 3, 5,97. Prime factorization of 4365 in exponential form is:

4365 = 32×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4357 and 4365.

LCM(4357,4365) = 32×51×971×43571
LCM(4357,4365) = 19018305

Factors of 4357

List of positive integer factors of 4357 that divides 4357 without a remainder.

1, 4357

Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365

Least Common Multiple of 4357 and 4365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4357 and 4365, than apply into the LCM equation.

GCF(4357,4365) = 1
LCM(4357,4365) = ( 4357 × 4365) / 1
LCM(4357,4365) = 19018305 / 1
LCM(4357,4365) = 19018305

Properties of LCM 4357 and 4365

(i) The LCM of 4365 and 4357 is associative

LCM of 4357 and 4365 = LCM of 4365 and 4357

Related Least Common Multiples of 4357

Related Least Common Multiples of 4365

Frequently Asked Questions on LCM of 4357 and 4365

1. What is the LCM of 4357 and 4365?

Answer: LCM of 4357 and 4365 is 19018305.

2. What are the Factors of 4357?

Answer: Factors of 4357 are 1, 4357. There are 2 integers that are factors of 4357. The greatest factor of 4357 is 4357.

3. What are the Factors of 4365?

Answer: Factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365. There are 12 integers that are factors of 4365. The greatest factor of 4365 is 4365.

4. How to Find the LCM of 4357 and 4365?

Answer:

Least Common Multiple of 4357 and 4365 = 19018305

Step 1: Find the prime factorization of 4357

4357 = 4357

Step 2: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

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

LCM = 19018305 = 3 x 3 x 5 x 97 x 4357

Step 4: Therefore, the least common multiple of 4357 and 4365 is 19018305.