Least Common Multiple of 1409 and 1417

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 1417 the smallest integer that is 1996553 that is divisible by both numbers.

Least Common Multiple (LCM) of 1409 and 1417 is 1996553.

LCM(1409,1417) = 1996553

LCM of 1409 and 1417

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

LCM of:
and

Least Common Multiple of 1409 and 1417

LCM of 1409 and 1417 is 1996553

Least common multiple can be found by multiplying the highest exponent prime factors of 1409 and 1417. First we will calculate the prime factors of 1409 and 1417.

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 1417


13 1417
109 109
1

Prime factors of 1417 are 13,109. Prime factorization of 1417 in exponential form is:

1417 = 131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1409 and 1417.

LCM(1409,1417) = 131×1091×14091
LCM(1409,1417) = 1996553

Factors of 1409

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

1, 1409

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1, 13, 109, 1417

Least Common Multiple of 1409 and 1417 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 1417, than apply into the LCM equation.

GCF(1409,1417) = 1
LCM(1409,1417) = ( 1409 × 1417) / 1
LCM(1409,1417) = 1996553 / 1
LCM(1409,1417) = 1996553

Properties of LCM 1409 and 1417

(i) The LCM of 1417 and 1409 is associative

LCM of 1409 and 1417 = LCM of 1417 and 1409

Related Least Common Multiples of 1409

Related Least Common Multiples of 1417

Frequently Asked Questions on LCM of 1409 and 1417

1. What is the LCM of 1409 and 1417?

Answer: LCM of 1409 and 1417 is 1996553.

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 1417?

Answer: Factors of 1417 are 1, 13, 109, 1417. There are 4 integers that are factors of 1417. The greatest factor of 1417 is 1417.

4. How to Find the LCM of 1409 and 1417?

Answer:

Least Common Multiple of 1409 and 1417 = 1996553

Step 1: Find the prime factorization of 1409

1409 = 1409

Step 2: Find the prime factorization of 1417

1417 = 13 x 109

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

LCM = 1996553 = 13 x 109 x 1409

Step 4: Therefore, the least common multiple of 1409 and 1417 is 1996553.