Least Common Multiple of 4365 and 4370

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 4370 the smallest integer that is 3815010 that is divisible by both numbers.

Least Common Multiple (LCM) of 4365 and 4370 is 3815010.

LCM(4365,4370) = 3815010

LCM of 4365 and 4370

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

LCM of:
and

Least Common Multiple of 4365 and 4370

LCM of 4365 and 4370 is 3815010

Least common multiple can be found by multiplying the highest exponent prime factors of 4365 and 4370. First we will calculate the prime factors of 4365 and 4370.

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 4370


2 4370
5 2185
19 437
23 23
1

Prime factors of 4370 are 2, 5, 19,23. Prime factorization of 4370 in exponential form is:

4370 = 21×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4365 and 4370.

LCM(4365,4370) = 21×32×51×191×231×971
LCM(4365,4370) = 3815010

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 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370

Least Common Multiple of 4365 and 4370 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 4370, than apply into the LCM equation.

GCF(4365,4370) = 5
LCM(4365,4370) = ( 4365 × 4370) / 5
LCM(4365,4370) = 19075050 / 5
LCM(4365,4370) = 3815010

Properties of LCM 4365 and 4370

(i) The LCM of 4370 and 4365 is associative

LCM of 4365 and 4370 = LCM of 4370 and 4365

Related Least Common Multiples of 4365

Related Least Common Multiples of 4370

Frequently Asked Questions on LCM of 4365 and 4370

1. What is the LCM of 4365 and 4370?

Answer: LCM of 4365 and 4370 is 3815010.

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 4370?

Answer: Factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370. There are 16 integers that are factors of 4370. The greatest factor of 4370 is 4370.

4. How to Find the LCM of 4365 and 4370?

Answer:

Least Common Multiple of 4365 and 4370 = 3815010

Step 1: Find the prime factorization of 4365

4365 = 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

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

LCM = 3815010 = 2 x 3 x 3 x 5 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 4365 and 4370 is 3815010.