Least Common Multiple of 418 and 424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 418 and 424 the smallest integer that is 88616 that is divisible by both numbers.

Least Common Multiple (LCM) of 418 and 424 is 88616.

LCM(418,424) = 88616

LCM of 418 and 424

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

LCM of:
and

Least Common Multiple of 418 and 424

LCM of 418 and 424 is 88616

Least common multiple can be found by multiplying the highest exponent prime factors of 418 and 424. First we will calculate the prime factors of 418 and 424.

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

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

Now multiplying the highest exponent prime factors to calculate the LCM of 418 and 424.

LCM(418,424) = 23×111×191×531
LCM(418,424) = 88616

Factors of 418

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

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

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Least Common Multiple of 418 and 424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 418 and 424, than apply into the LCM equation.

GCF(418,424) = 2
LCM(418,424) = ( 418 × 424) / 2
LCM(418,424) = 177232 / 2
LCM(418,424) = 88616

Properties of LCM 418 and 424

(i) The LCM of 424 and 418 is associative

LCM of 418 and 424 = LCM of 424 and 418

Related Least Common Multiples of 418

Related Least Common Multiples of 424

Frequently Asked Questions on LCM of 418 and 424

1. What is the LCM of 418 and 424?

Answer: LCM of 418 and 424 is 88616.

2. 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.

3. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

4. How to Find the LCM of 418 and 424?

Answer:

Least Common Multiple of 418 and 424 = 88616

Step 1: Find the prime factorization of 418

418 = 2 x 11 x 19

Step 2: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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

LCM = 88616 = 2 x 2 x 2 x 11 x 19 x 53

Step 4: Therefore, the least common multiple of 418 and 424 is 88616.