Least Common Multiple of 31431 and 31435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31431 and 31435 the smallest integer that is 988033485 that is divisible by both numbers.

Least Common Multiple (LCM) of 31431 and 31435 is 988033485.

LCM(31431,31435) = 988033485

LCM of 31431 and 31435

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

LCM of:
and

Least Common Multiple of 31431 and 31435

LCM of 31431 and 31435 is 988033485

Least common multiple can be found by multiplying the highest exponent prime factors of 31431 and 31435. First we will calculate the prime factors of 31431 and 31435.

Prime Factorization of 31431


3 31431
10477 10477
1

Prime factors of 31431 are 3,10477. Prime factorization of 31431 in exponential form is:

31431 = 31×104771

Prime Factorization of 31435


5 31435
6287 6287
1

Prime factors of 31435 are 5,6287. Prime factorization of 31435 in exponential form is:

31435 = 51×62871

Now multiplying the highest exponent prime factors to calculate the LCM of 31431 and 31435.

LCM(31431,31435) = 31×51×62871×104771
LCM(31431,31435) = 988033485

Factors of 31431

List of positive integer factors of 31431 that divides 31431 without a remainder.

1, 3, 10477, 31431

Factors of 31435

List of positive integer factors of 31435 that divides 31435 without a remainder.

1, 5, 6287, 31435

Least Common Multiple of 31431 and 31435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31431 and 31435, than apply into the LCM equation.

GCF(31431,31435) = 1
LCM(31431,31435) = ( 31431 × 31435) / 1
LCM(31431,31435) = 988033485 / 1
LCM(31431,31435) = 988033485

Properties of LCM 31431 and 31435

(i) The LCM of 31435 and 31431 is associative

LCM of 31431 and 31435 = LCM of 31435 and 31431

Related Least Common Multiples of 31431

Related Least Common Multiples of 31435

Frequently Asked Questions on LCM of 31431 and 31435

1. What is the LCM of 31431 and 31435?

Answer: LCM of 31431 and 31435 is 988033485.

2. What are the Factors of 31431?

Answer: Factors of 31431 are 1, 3, 10477, 31431. There are 4 integers that are factors of 31431. The greatest factor of 31431 is 31431.

3. What are the Factors of 31435?

Answer: Factors of 31435 are 1, 5, 6287, 31435. There are 4 integers that are factors of 31435. The greatest factor of 31435 is 31435.

4. How to Find the LCM of 31431 and 31435?

Answer:

Least Common Multiple of 31431 and 31435 = 988033485

Step 1: Find the prime factorization of 31431

31431 = 3 x 10477

Step 2: Find the prime factorization of 31435

31435 = 5 x 6287

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

LCM = 988033485 = 3 x 5 x 6287 x 10477

Step 4: Therefore, the least common multiple of 31431 and 31435 is 988033485.