Least Common Multiple of 424 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 424 and 426 the smallest integer that is 90312 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 426 is 90312.

LCM(424,426) = 90312

LCM of 424 and 426

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

LCM of:
and

Least Common Multiple of 424 and 426

LCM of 424 and 426 is 90312

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 426. First we will calculate the prime factors of 424 and 426.

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

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 424 and 426.

LCM(424,426) = 23×31×531×711
LCM(424,426) = 90312

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 424 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 424 and 426, than apply into the LCM equation.

GCF(424,426) = 2
LCM(424,426) = ( 424 × 426) / 2
LCM(424,426) = 180624 / 2
LCM(424,426) = 90312

Properties of LCM 424 and 426

(i) The LCM of 426 and 424 is associative

LCM of 424 and 426 = LCM of 426 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 424 and 426

1. What is the LCM of 424 and 426?

Answer: LCM of 424 and 426 is 90312.

2. 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.

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 424 and 426?

Answer:

Least Common Multiple of 424 and 426 = 90312

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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 = 90312 = 2 x 2 x 2 x 3 x 53 x 71

Step 4: Therefore, the least common multiple of 424 and 426 is 90312.