Least Common Multiple of 1409 and 1413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1409 and 1413 the smallest integer that is 1990917 that is divisible by both numbers.

Least Common Multiple (LCM) of 1409 and 1413 is 1990917.

LCM(1409,1413) = 1990917

LCM of 1409 and 1413

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

LCM of:
and

Least Common Multiple of 1409 and 1413

LCM of 1409 and 1413 is 1990917

Least common multiple can be found by multiplying the highest exponent prime factors of 1409 and 1413. First we will calculate the prime factors of 1409 and 1413.

Prime Factorization of 1409


1409 1409
1

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

1409 = 14091

Prime Factorization of 1413


3 1413
3 471
157 157
1

Prime factors of 1413 are 3,157. Prime factorization of 1413 in exponential form is:

1413 = 32×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1409 and 1413.

LCM(1409,1413) = 32×1571×14091
LCM(1409,1413) = 1990917

Factors of 1409

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

1, 1409

Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1, 3, 9, 157, 471, 1413

Least Common Multiple of 1409 and 1413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1409 and 1413, than apply into the LCM equation.

GCF(1409,1413) = 1
LCM(1409,1413) = ( 1409 × 1413) / 1
LCM(1409,1413) = 1990917 / 1
LCM(1409,1413) = 1990917

Properties of LCM 1409 and 1413

(i) The LCM of 1413 and 1409 is associative

LCM of 1409 and 1413 = LCM of 1413 and 1409

Related Least Common Multiples of 1409

Related Least Common Multiples of 1413

Frequently Asked Questions on LCM of 1409 and 1413

1. What is the LCM of 1409 and 1413?

Answer: LCM of 1409 and 1413 is 1990917.

2. 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.

3. What are the Factors of 1413?

Answer: Factors of 1413 are 1, 3, 9, 157, 471, 1413. There are 6 integers that are factors of 1413. The greatest factor of 1413 is 1413.

4. How to Find the LCM of 1409 and 1413?

Answer:

Least Common Multiple of 1409 and 1413 = 1990917

Step 1: Find the prime factorization of 1409

1409 = 1409

Step 2: Find the prime factorization of 1413

1413 = 3 x 3 x 157

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

LCM = 1990917 = 3 x 3 x 157 x 1409

Step 4: Therefore, the least common multiple of 1409 and 1413 is 1990917.