Least Common Multiple of 1413 and 1418

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 1418 the smallest integer that is 2003634 that is divisible by both numbers.

Least Common Multiple (LCM) of 1413 and 1418 is 2003634.

LCM(1413,1418) = 2003634

LCM of 1413 and 1418

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

LCM of:
and

Least Common Multiple of 1413 and 1418

LCM of 1413 and 1418 is 2003634

Least common multiple can be found by multiplying the highest exponent prime factors of 1413 and 1418. First we will calculate the prime factors of 1413 and 1418.

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 1418


2 1418
709 709
1

Prime factors of 1418 are 2,709. Prime factorization of 1418 in exponential form is:

1418 = 21×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 1413 and 1418.

LCM(1413,1418) = 21×32×1571×7091
LCM(1413,1418) = 2003634

Factors of 1413

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

1, 3, 9, 157, 471, 1413

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1, 2, 709, 1418

Least Common Multiple of 1413 and 1418 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 1418, than apply into the LCM equation.

GCF(1413,1418) = 1
LCM(1413,1418) = ( 1413 × 1418) / 1
LCM(1413,1418) = 2003634 / 1
LCM(1413,1418) = 2003634

Properties of LCM 1413 and 1418

(i) The LCM of 1418 and 1413 is associative

LCM of 1413 and 1418 = LCM of 1418 and 1413

Related Least Common Multiples of 1413

Related Least Common Multiples of 1418

Frequently Asked Questions on LCM of 1413 and 1418

1. What is the LCM of 1413 and 1418?

Answer: LCM of 1413 and 1418 is 2003634.

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 1418?

Answer: Factors of 1418 are 1, 2, 709, 1418. There are 4 integers that are factors of 1418. The greatest factor of 1418 is 1418.

4. How to Find the LCM of 1413 and 1418?

Answer:

Least Common Multiple of 1413 and 1418 = 2003634

Step 1: Find the prime factorization of 1413

1413 = 3 x 3 x 157

Step 2: Find the prime factorization of 1418

1418 = 2 x 709

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

LCM = 2003634 = 2 x 3 x 3 x 157 x 709

Step 4: Therefore, the least common multiple of 1413 and 1418 is 2003634.