Least Common Multiple of 414 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 414 and 418 the smallest integer that is 86526 that is divisible by both numbers.

Least Common Multiple (LCM) of 414 and 418 is 86526.

LCM(414,418) = 86526

LCM of 414 and 418

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

LCM of:
and

Least Common Multiple of 414 and 418

LCM of 414 and 418 is 86526

Least common multiple can be found by multiplying the highest exponent prime factors of 414 and 418. First we will calculate the prime factors of 414 and 418.

Prime Factorization of 414


2 414
3 207
3 69
23 23
1

Prime factors of 414 are 2, 3,23. Prime factorization of 414 in exponential form is:

414 = 21×32×231

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 414 and 418.

LCM(414,418) = 21×32×111×191×231
LCM(414,418) = 86526

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 414 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 414 and 418, than apply into the LCM equation.

GCF(414,418) = 2
LCM(414,418) = ( 414 × 418) / 2
LCM(414,418) = 173052 / 2
LCM(414,418) = 86526

Properties of LCM 414 and 418

(i) The LCM of 418 and 414 is associative

LCM of 414 and 418 = LCM of 418 and 414

Related Least Common Multiples of 414

Related Least Common Multiples of 418

Frequently Asked Questions on LCM of 414 and 418

1. What is the LCM of 414 and 418?

Answer: LCM of 414 and 418 is 86526.

2. What are the Factors of 414?

Answer: Factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414. There are 12 integers that are factors of 414. The greatest factor of 414 is 414.

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 414 and 418?

Answer:

Least Common Multiple of 414 and 418 = 86526

Step 1: Find the prime factorization of 414

414 = 2 x 3 x 3 x 23

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 = 86526 = 2 x 3 x 3 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 414 and 418 is 86526.