Least Common Multiple of 315420 and 315425

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 315425 the smallest integer that is 19898270700 that is divisible by both numbers.

Least Common Multiple (LCM) of 315420 and 315425 is 19898270700.

LCM(315420,315425) = 19898270700

LCM of 315420 and 315425

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

LCM of:
and

Least Common Multiple of 315420 and 315425

LCM of 315420 and 315425 is 19898270700

Least common multiple can be found by multiplying the highest exponent prime factors of 315420 and 315425. First we will calculate the prime factors of 315420 and 315425.

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 315425


5 315425
5 63085
11 12617
31 1147
37 37
1

Prime factors of 315425 are 5, 11, 31,37. Prime factorization of 315425 in exponential form is:

315425 = 52×111×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 315420 and 315425.

LCM(315420,315425) = 22×31×52×71×111×311×371×7511
LCM(315420,315425) = 19898270700

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 315425

List of positive integer factors of 315425 that divides 315425 without a remainder.

1, 5, 11, 25, 31, 37, 55, 155, 185, 275, 341, 407, 775, 925, 1147, 1705, 2035, 5735, 8525, 10175, 12617, 28675, 63085, 315425

Least Common Multiple of 315420 and 315425 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 315425, than apply into the LCM equation.

GCF(315420,315425) = 5
LCM(315420,315425) = ( 315420 × 315425) / 5
LCM(315420,315425) = 99491353500 / 5
LCM(315420,315425) = 19898270700

Properties of LCM 315420 and 315425

(i) The LCM of 315425 and 315420 is associative

LCM of 315420 and 315425 = LCM of 315425 and 315420

Related Least Common Multiples of 315420

Related Least Common Multiples of 315425

Frequently Asked Questions on LCM of 315420 and 315425

1. What is the LCM of 315420 and 315425?

Answer: LCM of 315420 and 315425 is 19898270700.

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 315425?

Answer: Factors of 315425 are 1, 5, 11, 25, 31, 37, 55, 155, 185, 275, 341, 407, 775, 925, 1147, 1705, 2035, 5735, 8525, 10175, 12617, 28675, 63085, 315425. There are 24 integers that are factors of 315425. The greatest factor of 315425 is 315425.

4. How to Find the LCM of 315420 and 315425?

Answer:

Least Common Multiple of 315420 and 315425 = 19898270700

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 315425

315425 = 5 x 5 x 11 x 31 x 37

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

LCM = 19898270700 = 2 x 2 x 3 x 5 x 5 x 7 x 11 x 31 x 37 x 751

Step 4: Therefore, the least common multiple of 315420 and 315425 is 19898270700.