Least Common Multiple of 421 and 426

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 426 the smallest integer that is 179346 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 426 is 179346.

LCM(421,426) = 179346

LCM of 421 and 426

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

LCM of:
and

Least Common Multiple of 421 and 426

LCM of 421 and 426 is 179346

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 426. First we will calculate the prime factors of 421 and 426.

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 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 421 and 426.

LCM(421,426) = 21×31×711×4211
LCM(421,426) = 179346

Factors of 421

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

1, 421

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Least Common Multiple of 421 and 426 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 426, than apply into the LCM equation.

GCF(421,426) = 1
LCM(421,426) = ( 421 × 426) / 1
LCM(421,426) = 179346 / 1
LCM(421,426) = 179346

Properties of LCM 421 and 426

(i) The LCM of 426 and 421 is associative

LCM of 421 and 426 = LCM of 426 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 421 and 426

1. What is the LCM of 421 and 426?

Answer: LCM of 421 and 426 is 179346.

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 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

4. How to Find the LCM of 421 and 426?

Answer:

Least Common Multiple of 421 and 426 = 179346

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 426

426 = 2 x 3 x 71

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

LCM = 179346 = 2 x 3 x 71 x 421

Step 4: Therefore, the least common multiple of 421 and 426 is 179346.