Least Common Multiple of 1401 and 1409

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 1409 the smallest integer that is 1974009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1401 and 1409 is 1974009.

LCM(1401,1409) = 1974009

LCM of 1401 and 1409

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

LCM of:
and

Least Common Multiple of 1401 and 1409

LCM of 1401 and 1409 is 1974009

Least common multiple can be found by multiplying the highest exponent prime factors of 1401 and 1409. First we will calculate the prime factors of 1401 and 1409.

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 1409


1409 1409
1

Prime factors of 1409 are 1409. Prime factorization of 1409 in exponential form is:

1409 = 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 1401 and 1409.

LCM(1401,1409) = 31×4671×14091
LCM(1401,1409) = 1974009

Factors of 1401

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

1, 3, 467, 1401

Factors of 1409

List of positive integer factors of 1409 that divides 1409 without a remainder.

1, 1409

Least Common Multiple of 1401 and 1409 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 1409, than apply into the LCM equation.

GCF(1401,1409) = 1
LCM(1401,1409) = ( 1401 × 1409) / 1
LCM(1401,1409) = 1974009 / 1
LCM(1401,1409) = 1974009

Properties of LCM 1401 and 1409

(i) The LCM of 1409 and 1401 is associative

LCM of 1401 and 1409 = LCM of 1409 and 1401

Related Least Common Multiples of 1401

Related Least Common Multiples of 1409

Frequently Asked Questions on LCM of 1401 and 1409

1. What is the LCM of 1401 and 1409?

Answer: LCM of 1401 and 1409 is 1974009.

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 1409?

Answer: Factors of 1409 are 1, 1409. There are 2 integers that are factors of 1409. The greatest factor of 1409 is 1409.

4. How to Find the LCM of 1401 and 1409?

Answer:

Least Common Multiple of 1401 and 1409 = 1974009

Step 1: Find the prime factorization of 1401

1401 = 3 x 467

Step 2: Find the prime factorization of 1409

1409 = 1409

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

LCM = 1974009 = 3 x 467 x 1409

Step 4: Therefore, the least common multiple of 1401 and 1409 is 1974009.