Least Common Multiple of 421 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 421 and 424 the smallest integer that is 178504 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 424 is 178504.

LCM(421,424) = 178504

LCM of 421 and 424

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

LCM of:
and

Least Common Multiple of 421 and 424

LCM of 421 and 424 is 178504

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 424. First we will calculate the prime factors of 421 and 424.

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

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 421 and 424.

LCM(421,424) = 23×531×4211
LCM(421,424) = 178504

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1, 421

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 421 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 421 and 424, than apply into the LCM equation.

GCF(421,424) = 1
LCM(421,424) = ( 421 × 424) / 1
LCM(421,424) = 178504 / 1
LCM(421,424) = 178504

Properties of LCM 421 and 424

(i) The LCM of 424 and 421 is associative

LCM of 421 and 424 = LCM of 424 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 424

Frequently Asked Questions on LCM of 421 and 424

1. What is the LCM of 421 and 424?

Answer: LCM of 421 and 424 is 178504.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

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 421 and 424?

Answer:

Least Common Multiple of 421 and 424 = 178504

Step 1: Find the prime factorization of 421

421 = 421

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 = 178504 = 2 x 2 x 2 x 53 x 421

Step 4: Therefore, the least common multiple of 421 and 424 is 178504.