Least Common Multiple of 315425 and 315430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315425 and 315430 the smallest integer that is 19898901550 that is divisible by both numbers.

Least Common Multiple (LCM) of 315425 and 315430 is 19898901550.

LCM(315425,315430) = 19898901550

LCM of 315425 and 315430

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

LCM of:
and

Least Common Multiple of 315425 and 315430

LCM of 315425 and 315430 is 19898901550

Least common multiple can be found by multiplying the highest exponent prime factors of 315425 and 315430. First we will calculate the prime factors of 315425 and 315430.

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

Prime Factorization of 315430


2 315430
5 157715
31543 31543
1

Prime factors of 315430 are 2, 5,31543. Prime factorization of 315430 in exponential form is:

315430 = 21×51×315431

Now multiplying the highest exponent prime factors to calculate the LCM of 315425 and 315430.

LCM(315425,315430) = 21×52×111×311×371×315431
LCM(315425,315430) = 19898901550

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

Factors of 315430

List of positive integer factors of 315430 that divides 315430 without a remainder.

1, 2, 5, 10, 31543, 63086, 157715, 315430

Least Common Multiple of 315425 and 315430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315425 and 315430, than apply into the LCM equation.

GCF(315425,315430) = 5
LCM(315425,315430) = ( 315425 × 315430) / 5
LCM(315425,315430) = 99494507750 / 5
LCM(315425,315430) = 19898901550

Properties of LCM 315425 and 315430

(i) The LCM of 315430 and 315425 is associative

LCM of 315425 and 315430 = LCM of 315430 and 315425

Related Least Common Multiples of 315425

Related Least Common Multiples of 315430

Frequently Asked Questions on LCM of 315425 and 315430

1. What is the LCM of 315425 and 315430?

Answer: LCM of 315425 and 315430 is 19898901550.

2. 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.

3. What are the Factors of 315430?

Answer: Factors of 315430 are 1, 2, 5, 10, 31543, 63086, 157715, 315430. There are 8 integers that are factors of 315430. The greatest factor of 315430 is 315430.

4. How to Find the LCM of 315425 and 315430?

Answer:

Least Common Multiple of 315425 and 315430 = 19898901550

Step 1: Find the prime factorization of 315425

315425 = 5 x 5 x 11 x 31 x 37

Step 2: Find the prime factorization of 315430

315430 = 2 x 5 x 31543

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

LCM = 19898901550 = 2 x 5 x 5 x 11 x 31 x 37 x 31543

Step 4: Therefore, the least common multiple of 315425 and 315430 is 19898901550.