Least Common Multiple of 413 and 418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 413 and 418 the smallest integer that is 172634 that is divisible by both numbers.

Least Common Multiple (LCM) of 413 and 418 is 172634.

LCM(413,418) = 172634

LCM of 413 and 418

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

LCM of:
and

Least Common Multiple of 413 and 418

LCM of 413 and 418 is 172634

Least common multiple can be found by multiplying the highest exponent prime factors of 413 and 418. First we will calculate the prime factors of 413 and 418.

Prime Factorization of 413


7 413
59 59
1

Prime factors of 413 are 7,59. Prime factorization of 413 in exponential form is:

413 = 71×591

Prime Factorization of 418


2 418
11 209
19 19
1

Prime factors of 418 are 2, 11,19. Prime factorization of 418 in exponential form is:

418 = 21×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 413 and 418.

LCM(413,418) = 21×71×111×191×591
LCM(413,418) = 172634

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Least Common Multiple of 413 and 418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 413 and 418, than apply into the LCM equation.

GCF(413,418) = 1
LCM(413,418) = ( 413 × 418) / 1
LCM(413,418) = 172634 / 1
LCM(413,418) = 172634

Properties of LCM 413 and 418

(i) The LCM of 418 and 413 is associative

LCM of 413 and 418 = LCM of 418 and 413

Related Least Common Multiples of 413

Related Least Common Multiples of 418

Frequently Asked Questions on LCM of 413 and 418

1. What is the LCM of 413 and 418?

Answer: LCM of 413 and 418 is 172634.

2. What are the Factors of 413?

Answer: Factors of 413 are 1, 7, 59, 413. There are 4 integers that are factors of 413. The greatest factor of 413 is 413.

3. What are the Factors of 418?

Answer: Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. There are 8 integers that are factors of 418. The greatest factor of 418 is 418.

4. How to Find the LCM of 413 and 418?

Answer:

Least Common Multiple of 413 and 418 = 172634

Step 1: Find the prime factorization of 413

413 = 7 x 59

Step 2: Find the prime factorization of 418

418 = 2 x 11 x 19

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

LCM = 172634 = 2 x 7 x 11 x 19 x 59

Step 4: Therefore, the least common multiple of 413 and 418 is 172634.