Least Common Multiple of 4395 and 4401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4395 and 4401 the smallest integer that is 6447465 that is divisible by both numbers.

Least Common Multiple (LCM) of 4395 and 4401 is 6447465.

LCM(4395,4401) = 6447465

LCM of 4395 and 4401

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

LCM of:
and

Least Common Multiple of 4395 and 4401

LCM of 4395 and 4401 is 6447465

Least common multiple can be found by multiplying the highest exponent prime factors of 4395 and 4401. First we will calculate the prime factors of 4395 and 4401.

Prime Factorization of 4395


3 4395
5 1465
293 293
1

Prime factors of 4395 are 3, 5,293. Prime factorization of 4395 in exponential form is:

4395 = 31×51×2931

Prime Factorization of 4401


3 4401
3 1467
3 489
163 163
1

Prime factors of 4401 are 3,163. Prime factorization of 4401 in exponential form is:

4401 = 33×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4395 and 4401.

LCM(4395,4401) = 33×51×1631×2931
LCM(4395,4401) = 6447465

Factors of 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1, 3, 5, 15, 293, 879, 1465, 4395

Factors of 4401

List of positive integer factors of 4401 that divides 4401 without a remainder.

1, 3, 9, 27, 163, 489, 1467, 4401

Least Common Multiple of 4395 and 4401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4395 and 4401, than apply into the LCM equation.

GCF(4395,4401) = 3
LCM(4395,4401) = ( 4395 × 4401) / 3
LCM(4395,4401) = 19342395 / 3
LCM(4395,4401) = 6447465

Properties of LCM 4395 and 4401

(i) The LCM of 4401 and 4395 is associative

LCM of 4395 and 4401 = LCM of 4401 and 4395

Related Least Common Multiples of 4395

Related Least Common Multiples of 4401

Frequently Asked Questions on LCM of 4395 and 4401

1. What is the LCM of 4395 and 4401?

Answer: LCM of 4395 and 4401 is 6447465.

2. What are the Factors of 4395?

Answer: Factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395. There are 8 integers that are factors of 4395. The greatest factor of 4395 is 4395.

3. What are the Factors of 4401?

Answer: Factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401. There are 8 integers that are factors of 4401. The greatest factor of 4401 is 4401.

4. How to Find the LCM of 4395 and 4401?

Answer:

Least Common Multiple of 4395 and 4401 = 6447465

Step 1: Find the prime factorization of 4395

4395 = 3 x 5 x 293

Step 2: Find the prime factorization of 4401

4401 = 3 x 3 x 3 x 163

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

LCM = 6447465 = 3 x 3 x 3 x 5 x 163 x 293

Step 4: Therefore, the least common multiple of 4395 and 4401 is 6447465.