Least Common Multiple of 1401 and 1405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1401 and 1405 the smallest integer that is 1968405 that is divisible by both numbers.

Least Common Multiple (LCM) of 1401 and 1405 is 1968405.

LCM(1401,1405) = 1968405

LCM of 1401 and 1405

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

LCM of:
and

Least Common Multiple of 1401 and 1405

LCM of 1401 and 1405 is 1968405

Least common multiple can be found by multiplying the highest exponent prime factors of 1401 and 1405. First we will calculate the prime factors of 1401 and 1405.

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

Prime Factorization of 1405


5 1405
281 281
1

Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:

1405 = 51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1401 and 1405.

LCM(1401,1405) = 31×51×2811×4671
LCM(1401,1405) = 1968405

Factors of 1401

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

1, 3, 467, 1401

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1, 5, 281, 1405

Least Common Multiple of 1401 and 1405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1401 and 1405, than apply into the LCM equation.

GCF(1401,1405) = 1
LCM(1401,1405) = ( 1401 × 1405) / 1
LCM(1401,1405) = 1968405 / 1
LCM(1401,1405) = 1968405

Properties of LCM 1401 and 1405

(i) The LCM of 1405 and 1401 is associative

LCM of 1401 and 1405 = LCM of 1405 and 1401

Related Least Common Multiples of 1401

Related Least Common Multiples of 1405

Frequently Asked Questions on LCM of 1401 and 1405

1. What is the LCM of 1401 and 1405?

Answer: LCM of 1401 and 1405 is 1968405.

2. 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.

3. What are the Factors of 1405?

Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.

4. How to Find the LCM of 1401 and 1405?

Answer:

Least Common Multiple of 1401 and 1405 = 1968405

Step 1: Find the prime factorization of 1401

1401 = 3 x 467

Step 2: Find the prime factorization of 1405

1405 = 5 x 281

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

LCM = 1968405 = 3 x 5 x 281 x 467

Step 4: Therefore, the least common multiple of 1401 and 1405 is 1968405.