Least Common Multiple of 421 and 422

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 422 the smallest integer that is 177662 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 422 is 177662.

LCM(421,422) = 177662

LCM of 421 and 422

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

LCM of:
and

Least Common Multiple of 421 and 422

LCM of 421 and 422 is 177662

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 422. First we will calculate the prime factors of 421 and 422.

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 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 421 and 422.

LCM(421,422) = 21×2111×4211
LCM(421,422) = 177662

Factors of 421

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

1, 421

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Least Common Multiple of 421 and 422 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 422, than apply into the LCM equation.

GCF(421,422) = 1
LCM(421,422) = ( 421 × 422) / 1
LCM(421,422) = 177662 / 1
LCM(421,422) = 177662

Properties of LCM 421 and 422

(i) The LCM of 422 and 421 is associative

LCM of 421 and 422 = LCM of 422 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 422

Frequently Asked Questions on LCM of 421 and 422

1. What is the LCM of 421 and 422?

Answer: LCM of 421 and 422 is 177662.

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 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

4. How to Find the LCM of 421 and 422?

Answer:

Least Common Multiple of 421 and 422 = 177662

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 422

422 = 2 x 211

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

LCM = 177662 = 2 x 211 x 421

Step 4: Therefore, the least common multiple of 421 and 422 is 177662.