Least Common Multiple of 421 and 428

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 428 the smallest integer that is 180188 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 428 is 180188.

LCM(421,428) = 180188

LCM of 421 and 428

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

LCM of:
and

Least Common Multiple of 421 and 428

LCM of 421 and 428 is 180188

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 428. First we will calculate the prime factors of 421 and 428.

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 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 421 and 428.

LCM(421,428) = 22×1071×4211
LCM(421,428) = 180188

Factors of 421

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

1, 421

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Least Common Multiple of 421 and 428 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 428, than apply into the LCM equation.

GCF(421,428) = 1
LCM(421,428) = ( 421 × 428) / 1
LCM(421,428) = 180188 / 1
LCM(421,428) = 180188

Properties of LCM 421 and 428

(i) The LCM of 428 and 421 is associative

LCM of 421 and 428 = LCM of 428 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 428

Frequently Asked Questions on LCM of 421 and 428

1. What is the LCM of 421 and 428?

Answer: LCM of 421 and 428 is 180188.

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 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

4. How to Find the LCM of 421 and 428?

Answer:

Least Common Multiple of 421 and 428 = 180188

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 428

428 = 2 x 2 x 107

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

LCM = 180188 = 2 x 2 x 107 x 421

Step 4: Therefore, the least common multiple of 421 and 428 is 180188.