Least Common Multiple of 1401 and 1406

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 1406 the smallest integer that is 1969806 that is divisible by both numbers.

Least Common Multiple (LCM) of 1401 and 1406 is 1969806.

LCM(1401,1406) = 1969806

LCM of 1401 and 1406

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

LCM of:
and

Least Common Multiple of 1401 and 1406

LCM of 1401 and 1406 is 1969806

Least common multiple can be found by multiplying the highest exponent prime factors of 1401 and 1406. First we will calculate the prime factors of 1401 and 1406.

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 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2, 19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1401 and 1406.

LCM(1401,1406) = 21×31×191×371×4671
LCM(1401,1406) = 1969806

Factors of 1401

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

1, 3, 467, 1401

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1406

Least Common Multiple of 1401 and 1406 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 1406, than apply into the LCM equation.

GCF(1401,1406) = 1
LCM(1401,1406) = ( 1401 × 1406) / 1
LCM(1401,1406) = 1969806 / 1
LCM(1401,1406) = 1969806

Properties of LCM 1401 and 1406

(i) The LCM of 1406 and 1401 is associative

LCM of 1401 and 1406 = LCM of 1406 and 1401

Related Least Common Multiples of 1401

Related Least Common Multiples of 1406

Frequently Asked Questions on LCM of 1401 and 1406

1. What is the LCM of 1401 and 1406?

Answer: LCM of 1401 and 1406 is 1969806.

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 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

4. How to Find the LCM of 1401 and 1406?

Answer:

Least Common Multiple of 1401 and 1406 = 1969806

Step 1: Find the prime factorization of 1401

1401 = 3 x 467

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

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

LCM = 1969806 = 2 x 3 x 19 x 37 x 467

Step 4: Therefore, the least common multiple of 1401 and 1406 is 1969806.