Least Common Multiple of 431 and 436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 431 and 436 the smallest integer that is 187916 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 436 is 187916.

LCM(431,436) = 187916

LCM of 431 and 436

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

LCM of:
and

Least Common Multiple of 431 and 436

LCM of 431 and 436 is 187916

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 436. First we will calculate the prime factors of 431 and 436.

Prime Factorization of 431


431 431
1

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 4311

Prime Factorization of 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 431 and 436.

LCM(431,436) = 22×1091×4311
LCM(431,436) = 187916

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1, 431

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Least Common Multiple of 431 and 436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 431 and 436, than apply into the LCM equation.

GCF(431,436) = 1
LCM(431,436) = ( 431 × 436) / 1
LCM(431,436) = 187916 / 1
LCM(431,436) = 187916

Properties of LCM 431 and 436

(i) The LCM of 436 and 431 is associative

LCM of 431 and 436 = LCM of 436 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 431 and 436

1. What is the LCM of 431 and 436?

Answer: LCM of 431 and 436 is 187916.

2. What are the Factors of 431?

Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.

3. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the LCM of 431 and 436?

Answer:

Least Common Multiple of 431 and 436 = 187916

Step 1: Find the prime factorization of 431

431 = 431

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 187916 = 2 x 2 x 109 x 431

Step 4: Therefore, the least common multiple of 431 and 436 is 187916.