Least Common Multiple of 315420 and 315424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315420 and 315424 the smallest integer that is 24872759520 that is divisible by both numbers.

Least Common Multiple (LCM) of 315420 and 315424 is 24872759520.

LCM(315420,315424) = 24872759520

LCM of 315420 and 315424

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

LCM of:
and

Least Common Multiple of 315420 and 315424

LCM of 315420 and 315424 is 24872759520

Least common multiple can be found by multiplying the highest exponent prime factors of 315420 and 315424. First we will calculate the prime factors of 315420 and 315424.

Prime Factorization of 315420


2 315420
2 157710
3 78855
5 26285
7 5257
751 751
1

Prime factors of 315420 are 2, 3, 5, 7,751. Prime factorization of 315420 in exponential form is:

315420 = 22×31×51×71×7511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 315420 and 315424.

LCM(315420,315424) = 25×31×51×71×7511×98571
LCM(315420,315424) = 24872759520

Factors of 315420

List of positive integer factors of 315420 that divides 315420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420, 751, 1502, 2253, 3004, 3755, 4506, 5257, 7510, 9012, 10514, 11265, 15020, 15771, 21028, 22530, 26285, 31542, 45060, 52570, 63084, 78855, 105140, 157710, 315420

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

Least Common Multiple of 315420 and 315424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315420 and 315424, than apply into the LCM equation.

GCF(315420,315424) = 4
LCM(315420,315424) = ( 315420 × 315424) / 4
LCM(315420,315424) = 99491038080 / 4
LCM(315420,315424) = 24872759520

Properties of LCM 315420 and 315424

(i) The LCM of 315424 and 315420 is associative

LCM of 315420 and 315424 = LCM of 315424 and 315420

Related Least Common Multiples of 315420

Related Least Common Multiples of 315424

Frequently Asked Questions on LCM of 315420 and 315424

1. What is the LCM of 315420 and 315424?

Answer: LCM of 315420 and 315424 is 24872759520.

2. What are the Factors of 315420?

Answer: Factors of 315420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420, 751, 1502, 2253, 3004, 3755, 4506, 5257, 7510, 9012, 10514, 11265, 15020, 15771, 21028, 22530, 26285, 31542, 45060, 52570, 63084, 78855, 105140, 157710, 315420. There are 48 integers that are factors of 315420. The greatest factor of 315420 is 315420.

3. 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.

4. How to Find the LCM of 315420 and 315424?

Answer:

Least Common Multiple of 315420 and 315424 = 24872759520

Step 1: Find the prime factorization of 315420

315420 = 2 x 2 x 3 x 5 x 7 x 751

Step 2: Find the prime factorization of 315424

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

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

LCM = 24872759520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 751 x 9857

Step 4: Therefore, the least common multiple of 315420 and 315424 is 24872759520.