Least Common Multiple of 426 and 433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 426 and 433 the smallest integer that is 184458 that is divisible by both numbers.

Least Common Multiple (LCM) of 426 and 433 is 184458.

LCM(426,433) = 184458

LCM of 426 and 433

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

LCM of:
and

Least Common Multiple of 426 and 433

LCM of 426 and 433 is 184458

Least common multiple can be found by multiplying the highest exponent prime factors of 426 and 433. First we will calculate the prime factors of 426 and 433.

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

Prime Factorization of 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 426 and 433.

LCM(426,433) = 21×31×711×4331
LCM(426,433) = 184458

Factors of 426

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

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

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1, 433

Least Common Multiple of 426 and 433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 426 and 433, than apply into the LCM equation.

GCF(426,433) = 1
LCM(426,433) = ( 426 × 433) / 1
LCM(426,433) = 184458 / 1
LCM(426,433) = 184458

Properties of LCM 426 and 433

(i) The LCM of 433 and 426 is associative

LCM of 426 and 433 = LCM of 433 and 426

Related Least Common Multiples of 426

Related Least Common Multiples of 433

Frequently Asked Questions on LCM of 426 and 433

1. What is the LCM of 426 and 433?

Answer: LCM of 426 and 433 is 184458.

2. 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.

3. What are the Factors of 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

4. How to Find the LCM of 426 and 433?

Answer:

Least Common Multiple of 426 and 433 = 184458

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

Step 2: Find the prime factorization of 433

433 = 433

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

LCM = 184458 = 2 x 3 x 71 x 433

Step 4: Therefore, the least common multiple of 426 and 433 is 184458.