Least Common Multiple of 4360 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 4360 and 4365 the smallest integer that is 3806280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4360 and 4365 is 3806280.

LCM(4360,4365) = 3806280

LCM of 4360 and 4365

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

LCM of:
and

Least Common Multiple of 4360 and 4365

LCM of 4360 and 4365 is 3806280

Least common multiple can be found by multiplying the highest exponent prime factors of 4360 and 4365. First we will calculate the prime factors of 4360 and 4365.

Prime Factorization of 4360


2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 4360 are 2, 5,109. Prime factorization of 4360 in exponential form is:

4360 = 23×51×1091

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 4360 and 4365.

LCM(4360,4365) = 23×32×51×971×1091
LCM(4360,4365) = 3806280

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360

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 4360 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 4360 and 4365, than apply into the LCM equation.

GCF(4360,4365) = 5
LCM(4360,4365) = ( 4360 × 4365) / 5
LCM(4360,4365) = 19031400 / 5
LCM(4360,4365) = 3806280

Properties of LCM 4360 and 4365

(i) The LCM of 4365 and 4360 is associative

LCM of 4360 and 4365 = LCM of 4365 and 4360

Related Least Common Multiples of 4360

Related Least Common Multiples of 4365

Frequently Asked Questions on LCM of 4360 and 4365

1. What is the LCM of 4360 and 4365?

Answer: LCM of 4360 and 4365 is 3806280.

2. What are the Factors of 4360?

Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.

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 4360 and 4365?

Answer:

Least Common Multiple of 4360 and 4365 = 3806280

Step 1: Find the prime factorization of 4360

4360 = 2 x 2 x 2 x 5 x 109

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 = 3806280 = 2 x 2 x 2 x 3 x 3 x 5 x 97 x 109

Step 4: Therefore, the least common multiple of 4360 and 4365 is 3806280.