Least Common Multiple of 421 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 421 and 423 the smallest integer that is 178083 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 423 is 178083.

LCM(421,423) = 178083

LCM of 421 and 423

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

LCM of:
and

Least Common Multiple of 421 and 423

LCM of 421 and 423 is 178083

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 423. First we will calculate the prime factors of 421 and 423.

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 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 421 and 423.

LCM(421,423) = 32×471×4211
LCM(421,423) = 178083

Factors of 421

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

1, 421

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 421 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 421 and 423, than apply into the LCM equation.

GCF(421,423) = 1
LCM(421,423) = ( 421 × 423) / 1
LCM(421,423) = 178083 / 1
LCM(421,423) = 178083

Properties of LCM 421 and 423

(i) The LCM of 423 and 421 is associative

LCM of 421 and 423 = LCM of 423 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 423

Frequently Asked Questions on LCM of 421 and 423

1. What is the LCM of 421 and 423?

Answer: LCM of 421 and 423 is 178083.

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 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 421 and 423?

Answer:

Least Common Multiple of 421 and 423 = 178083

Step 1: Find the prime factorization of 421

421 = 421

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 = 178083 = 3 x 3 x 47 x 421

Step 4: Therefore, the least common multiple of 421 and 423 is 178083.