Least Common Multiple of 1413 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 1413 and 1417 the smallest integer that is 2002221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1413 and 1417 is 2002221.

LCM(1413,1417) = 2002221

LCM of 1413 and 1417

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

LCM of:
and

Least Common Multiple of 1413 and 1417

LCM of 1413 and 1417 is 2002221

Least common multiple can be found by multiplying the highest exponent prime factors of 1413 and 1417. First we will calculate the prime factors of 1413 and 1417.

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

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 1413 and 1417.

LCM(1413,1417) = 32×131×1091×1571
LCM(1413,1417) = 2002221

Factors of 1413

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

1, 3, 9, 157, 471, 1413

Factors of 1417

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

1, 13, 109, 1417

Least Common Multiple of 1413 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 1413 and 1417, than apply into the LCM equation.

GCF(1413,1417) = 1
LCM(1413,1417) = ( 1413 × 1417) / 1
LCM(1413,1417) = 2002221 / 1
LCM(1413,1417) = 2002221

Properties of LCM 1413 and 1417

(i) The LCM of 1417 and 1413 is associative

LCM of 1413 and 1417 = LCM of 1417 and 1413

Related Least Common Multiples of 1413

Related Least Common Multiples of 1417

Frequently Asked Questions on LCM of 1413 and 1417

1. What is the LCM of 1413 and 1417?

Answer: LCM of 1413 and 1417 is 2002221.

2. 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.

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 1413 and 1417?

Answer:

Least Common Multiple of 1413 and 1417 = 2002221

Step 1: Find the prime factorization of 1413

1413 = 3 x 3 x 157

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 = 2002221 = 3 x 3 x 13 x 109 x 157

Step 4: Therefore, the least common multiple of 1413 and 1417 is 2002221.