Least Common Multiple of 5431 and 5435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5431 and 5435 the smallest integer that is 29517485 that is divisible by both numbers.

Least Common Multiple (LCM) of 5431 and 5435 is 29517485.

LCM(5431,5435) = 29517485

LCM of 5431 and 5435

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

LCM of:
and

Least Common Multiple of 5431 and 5435

LCM of 5431 and 5435 is 29517485

Least common multiple can be found by multiplying the highest exponent prime factors of 5431 and 5435. First we will calculate the prime factors of 5431 and 5435.

Prime Factorization of 5431


5431 5431
1

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 54311

Prime Factorization of 5435


5 5435
1087 1087
1

Prime factors of 5435 are 5,1087. Prime factorization of 5435 in exponential form is:

5435 = 51×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 5431 and 5435.

LCM(5431,5435) = 51×10871×54311
LCM(5431,5435) = 29517485

Factors of 5431

List of positive integer factors of 5431 that divides 5431 without a remainder.

1, 5431

Factors of 5435

List of positive integer factors of 5435 that divides 5435 without a remainder.

1, 5, 1087, 5435

Least Common Multiple of 5431 and 5435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5431 and 5435, than apply into the LCM equation.

GCF(5431,5435) = 1
LCM(5431,5435) = ( 5431 × 5435) / 1
LCM(5431,5435) = 29517485 / 1
LCM(5431,5435) = 29517485

Properties of LCM 5431 and 5435

(i) The LCM of 5435 and 5431 is associative

LCM of 5431 and 5435 = LCM of 5435 and 5431

Frequently Asked Questions on LCM of 5431 and 5435

1. What is the LCM of 5431 and 5435?

Answer: LCM of 5431 and 5435 is 29517485.

2. What are the Factors of 5431?

Answer: Factors of 5431 are 1, 5431. There are 2 integers that are factors of 5431. The greatest factor of 5431 is 5431.

3. What are the Factors of 5435?

Answer: Factors of 5435 are 1, 5, 1087, 5435. There are 4 integers that are factors of 5435. The greatest factor of 5435 is 5435.

4. How to Find the LCM of 5431 and 5435?

Answer:

Least Common Multiple of 5431 and 5435 = 29517485

Step 1: Find the prime factorization of 5431

5431 = 5431

Step 2: Find the prime factorization of 5435

5435 = 5 x 1087

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

LCM = 29517485 = 5 x 1087 x 5431

Step 4: Therefore, the least common multiple of 5431 and 5435 is 29517485.