Least Common Multiple of 315424 and 315431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315424 and 315431 the smallest integer that is 99494507744 that is divisible by both numbers.

Least Common Multiple (LCM) of 315424 and 315431 is 99494507744.

LCM(315424,315431) = 99494507744

LCM of 315424 and 315431

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

LCM of:
and

Least Common Multiple of 315424 and 315431

LCM of 315424 and 315431 is 99494507744

Least common multiple can be found by multiplying the highest exponent prime factors of 315424 and 315431. First we will calculate the prime factors of 315424 and 315431.

Prime Factorization of 315424


2 315424
2 157712
2 78856
2 39428
2 19714
9857 9857
1

Prime factors of 315424 are 2,9857. Prime factorization of 315424 in exponential form is:

315424 = 25×98571

Prime Factorization of 315431


61 315431
5171 5171
1

Prime factors of 315431 are 61,5171. Prime factorization of 315431 in exponential form is:

315431 = 611×51711

Now multiplying the highest exponent prime factors to calculate the LCM of 315424 and 315431.

LCM(315424,315431) = 25×611×51711×98571
LCM(315424,315431) = 99494507744

Factors of 315424

List of positive integer factors of 315424 that divides 315424 without a remainder.

1, 2, 4, 8, 16, 32, 9857, 19714, 39428, 78856, 157712, 315424

Factors of 315431

List of positive integer factors of 315431 that divides 315431 without a remainder.

1, 61, 5171, 315431

Least Common Multiple of 315424 and 315431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315424 and 315431, than apply into the LCM equation.

GCF(315424,315431) = 1
LCM(315424,315431) = ( 315424 × 315431) / 1
LCM(315424,315431) = 99494507744 / 1
LCM(315424,315431) = 99494507744

Properties of LCM 315424 and 315431

(i) The LCM of 315431 and 315424 is associative

LCM of 315424 and 315431 = LCM of 315431 and 315424

Related Least Common Multiples of 315424

Related Least Common Multiples of 315431

Frequently Asked Questions on LCM of 315424 and 315431

1. What is the LCM of 315424 and 315431?

Answer: LCM of 315424 and 315431 is 99494507744.

2. What are the Factors of 315424?

Answer: Factors of 315424 are 1, 2, 4, 8, 16, 32, 9857, 19714, 39428, 78856, 157712, 315424. There are 12 integers that are factors of 315424. The greatest factor of 315424 is 315424.

3. What are the Factors of 315431?

Answer: Factors of 315431 are 1, 61, 5171, 315431. There are 4 integers that are factors of 315431. The greatest factor of 315431 is 315431.

4. How to Find the LCM of 315424 and 315431?

Answer:

Least Common Multiple of 315424 and 315431 = 99494507744

Step 1: Find the prime factorization of 315424

315424 = 2 x 2 x 2 x 2 x 2 x 9857

Step 2: Find the prime factorization of 315431

315431 = 61 x 5171

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

LCM = 99494507744 = 2 x 2 x 2 x 2 x 2 x 61 x 5171 x 9857

Step 4: Therefore, the least common multiple of 315424 and 315431 is 99494507744.