Least Common Multiple of 1395 and 1401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1395 and 1401 the smallest integer that is 651465 that is divisible by both numbers.

Least Common Multiple (LCM) of 1395 and 1401 is 651465.

LCM(1395,1401) = 651465

LCM of 1395 and 1401

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

LCM of:
and

Least Common Multiple of 1395 and 1401

LCM of 1395 and 1401 is 651465

Least common multiple can be found by multiplying the highest exponent prime factors of 1395 and 1401. First we will calculate the prime factors of 1395 and 1401.

Prime Factorization of 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3, 5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

Prime Factorization of 1401


3 1401
467 467
1

Prime factors of 1401 are 3,467. Prime factorization of 1401 in exponential form is:

1401 = 31×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1395 and 1401.

LCM(1395,1401) = 32×51×311×4671
LCM(1395,1401) = 651465

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1, 3, 467, 1401

Least Common Multiple of 1395 and 1401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1395 and 1401, than apply into the LCM equation.

GCF(1395,1401) = 3
LCM(1395,1401) = ( 1395 × 1401) / 3
LCM(1395,1401) = 1954395 / 3
LCM(1395,1401) = 651465

Properties of LCM 1395 and 1401

(i) The LCM of 1401 and 1395 is associative

LCM of 1395 and 1401 = LCM of 1401 and 1395

Related Least Common Multiples of 1395

Related Least Common Multiples of 1401

Frequently Asked Questions on LCM of 1395 and 1401

1. What is the LCM of 1395 and 1401?

Answer: LCM of 1395 and 1401 is 651465.

2. What are the Factors of 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

3. What are the Factors of 1401?

Answer: Factors of 1401 are 1, 3, 467, 1401. There are 4 integers that are factors of 1401. The greatest factor of 1401 is 1401.

4. How to Find the LCM of 1395 and 1401?

Answer:

Least Common Multiple of 1395 and 1401 = 651465

Step 1: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 1401

1401 = 3 x 467

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

LCM = 651465 = 3 x 3 x 5 x 31 x 467

Step 4: Therefore, the least common multiple of 1395 and 1401 is 651465.