Least Common Multiple of 418 and 423

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 423 the smallest integer that is 176814 that is divisible by both numbers.

Least Common Multiple (LCM) of 418 and 423 is 176814.

LCM(418,423) = 176814

LCM of 418 and 423

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

LCM of:
and

Least Common Multiple of 418 and 423

LCM of 418 and 423 is 176814

Least common multiple can be found by multiplying the highest exponent prime factors of 418 and 423. First we will calculate the prime factors of 418 and 423.

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 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 418 and 423.

LCM(418,423) = 21×32×111×191×471
LCM(418,423) = 176814

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 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Least Common Multiple of 418 and 423 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 423, than apply into the LCM equation.

GCF(418,423) = 1
LCM(418,423) = ( 418 × 423) / 1
LCM(418,423) = 176814 / 1
LCM(418,423) = 176814

Properties of LCM 418 and 423

(i) The LCM of 423 and 418 is associative

LCM of 418 and 423 = LCM of 423 and 418

Related Least Common Multiples of 418

Related Least Common Multiples of 423

Frequently Asked Questions on LCM of 418 and 423

1. What is the LCM of 418 and 423?

Answer: LCM of 418 and 423 is 176814.

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 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

4. How to Find the LCM of 418 and 423?

Answer:

Least Common Multiple of 418 and 423 = 176814

Step 1: Find the prime factorization of 418

418 = 2 x 11 x 19

Step 2: Find the prime factorization of 423

423 = 3 x 3 x 47

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

LCM = 176814 = 2 x 3 x 3 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 418 and 423 is 176814.