Least Common Multiple of 4365 and 4373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4365 and 4373 the smallest integer that is 19088145 that is divisible by both numbers.

Least Common Multiple (LCM) of 4365 and 4373 is 19088145.

LCM(4365,4373) = 19088145

LCM of 4365 and 4373

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

LCM of:
and

Least Common Multiple of 4365 and 4373

LCM of 4365 and 4373 is 19088145

Least common multiple can be found by multiplying the highest exponent prime factors of 4365 and 4373. First we will calculate the prime factors of 4365 and 4373.

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

Prime Factorization of 4373


4373 4373
1

Prime factors of 4373 are 4373. Prime factorization of 4373 in exponential form is:

4373 = 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 4365 and 4373.

LCM(4365,4373) = 32×51×971×43731
LCM(4365,4373) = 19088145

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

Factors of 4373

List of positive integer factors of 4373 that divides 4373 without a remainder.

1, 4373

Least Common Multiple of 4365 and 4373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4365 and 4373, than apply into the LCM equation.

GCF(4365,4373) = 1
LCM(4365,4373) = ( 4365 × 4373) / 1
LCM(4365,4373) = 19088145 / 1
LCM(4365,4373) = 19088145

Properties of LCM 4365 and 4373

(i) The LCM of 4373 and 4365 is associative

LCM of 4365 and 4373 = LCM of 4373 and 4365

Related Least Common Multiples of 4365

Related Least Common Multiples of 4373

Frequently Asked Questions on LCM of 4365 and 4373

1. What is the LCM of 4365 and 4373?

Answer: LCM of 4365 and 4373 is 19088145.

2. 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.

3. What are the Factors of 4373?

Answer: Factors of 4373 are 1, 4373. There are 2 integers that are factors of 4373. The greatest factor of 4373 is 4373.

4. How to Find the LCM of 4365 and 4373?

Answer:

Least Common Multiple of 4365 and 4373 = 19088145

Step 1: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 4373

4373 = 4373

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

LCM = 19088145 = 3 x 3 x 5 x 97 x 4373

Step 4: Therefore, the least common multiple of 4365 and 4373 is 19088145.