Least Common Multiple of 1403 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 1403 and 1409 the smallest integer that is 1976827 that is divisible by both numbers.

Least Common Multiple (LCM) of 1403 and 1409 is 1976827.

LCM(1403,1409) = 1976827

LCM of 1403 and 1409

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

LCM of:
and

Least Common Multiple of 1403 and 1409

LCM of 1403 and 1409 is 1976827

Least common multiple can be found by multiplying the highest exponent prime factors of 1403 and 1409. First we will calculate the prime factors of 1403 and 1409.

Prime Factorization of 1403


23 1403
61 61
1

Prime factors of 1403 are 23,61. Prime factorization of 1403 in exponential form is:

1403 = 231×611

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 1403 and 1409.

LCM(1403,1409) = 231×611×14091
LCM(1403,1409) = 1976827

Factors of 1403

List of positive integer factors of 1403 that divides 1403 without a remainder.

1, 23, 61, 1403

Factors of 1409

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

1, 1409

Least Common Multiple of 1403 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 1403 and 1409, than apply into the LCM equation.

GCF(1403,1409) = 1
LCM(1403,1409) = ( 1403 × 1409) / 1
LCM(1403,1409) = 1976827 / 1
LCM(1403,1409) = 1976827

Properties of LCM 1403 and 1409

(i) The LCM of 1409 and 1403 is associative

LCM of 1403 and 1409 = LCM of 1409 and 1403

Related Least Common Multiples of 1403

Related Least Common Multiples of 1409

Frequently Asked Questions on LCM of 1403 and 1409

1. What is the LCM of 1403 and 1409?

Answer: LCM of 1403 and 1409 is 1976827.

2. What are the Factors of 1403?

Answer: Factors of 1403 are 1, 23, 61, 1403. There are 4 integers that are factors of 1403. The greatest factor of 1403 is 1403.

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 1403 and 1409?

Answer:

Least Common Multiple of 1403 and 1409 = 1976827

Step 1: Find the prime factorization of 1403

1403 = 23 x 61

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 = 1976827 = 23 x 61 x 1409

Step 4: Therefore, the least common multiple of 1403 and 1409 is 1976827.