Least Common Multiple of 423 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 423 and 426 the smallest integer that is 60066 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 426 is 60066.

LCM(423,426) = 60066

LCM of 423 and 426

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

LCM of:
and

Least Common Multiple of 423 and 426

LCM of 423 and 426 is 60066

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 426. First we will calculate the prime factors of 423 and 426.

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

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 423 and 426.

LCM(423,426) = 21×32×471×711
LCM(423,426) = 60066

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 423 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 423 and 426, than apply into the LCM equation.

GCF(423,426) = 3
LCM(423,426) = ( 423 × 426) / 3
LCM(423,426) = 180198 / 3
LCM(423,426) = 60066

Properties of LCM 423 and 426

(i) The LCM of 426 and 423 is associative

LCM of 423 and 426 = LCM of 426 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 423 and 426

1. What is the LCM of 423 and 426?

Answer: LCM of 423 and 426 is 60066.

2. 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.

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 423 and 426?

Answer:

Least Common Multiple of 423 and 426 = 60066

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 60066 = 2 x 3 x 3 x 47 x 71

Step 4: Therefore, the least common multiple of 423 and 426 is 60066.