Least Common Multiple of 307425 and 307431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307425 and 307431 the smallest integer that is 31503991725 that is divisible by both numbers.

Least Common Multiple (LCM) of 307425 and 307431 is 31503991725.

LCM(307425,307431) = 31503991725

LCM of 307425 and 307431

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

LCM of:
and

Least Common Multiple of 307425 and 307431

LCM of 307425 and 307431 is 31503991725

Least common multiple can be found by multiplying the highest exponent prime factors of 307425 and 307431. First we will calculate the prime factors of 307425 and 307431.

Prime Factorization of 307425


3 307425
5 102475
5 20495
4099 4099
1

Prime factors of 307425 are 3, 5,4099. Prime factorization of 307425 in exponential form is:

307425 = 31×52×40991

Prime Factorization of 307431


3 307431
3 102477
34159 34159
1

Prime factors of 307431 are 3,34159. Prime factorization of 307431 in exponential form is:

307431 = 32×341591

Now multiplying the highest exponent prime factors to calculate the LCM of 307425 and 307431.

LCM(307425,307431) = 32×52×40991×341591
LCM(307425,307431) = 31503991725

Factors of 307425

List of positive integer factors of 307425 that divides 307425 without a remainder.

1, 3, 5, 15, 25, 75, 4099, 12297, 20495, 61485, 102475, 307425

Factors of 307431

List of positive integer factors of 307431 that divides 307431 without a remainder.

1, 3, 9, 34159, 102477, 307431

Least Common Multiple of 307425 and 307431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307425 and 307431, than apply into the LCM equation.

GCF(307425,307431) = 3
LCM(307425,307431) = ( 307425 × 307431) / 3
LCM(307425,307431) = 94511975175 / 3
LCM(307425,307431) = 31503991725

Properties of LCM 307425 and 307431

(i) The LCM of 307431 and 307425 is associative

LCM of 307425 and 307431 = LCM of 307431 and 307425

Related Least Common Multiples of 307425

Related Least Common Multiples of 307431

Frequently Asked Questions on LCM of 307425 and 307431

1. What is the LCM of 307425 and 307431?

Answer: LCM of 307425 and 307431 is 31503991725.

2. What are the Factors of 307425?

Answer: Factors of 307425 are 1, 3, 5, 15, 25, 75, 4099, 12297, 20495, 61485, 102475, 307425. There are 12 integers that are factors of 307425. The greatest factor of 307425 is 307425.

3. What are the Factors of 307431?

Answer: Factors of 307431 are 1, 3, 9, 34159, 102477, 307431. There are 6 integers that are factors of 307431. The greatest factor of 307431 is 307431.

4. How to Find the LCM of 307425 and 307431?

Answer:

Least Common Multiple of 307425 and 307431 = 31503991725

Step 1: Find the prime factorization of 307425

307425 = 3 x 5 x 5 x 4099

Step 2: Find the prime factorization of 307431

307431 = 3 x 3 x 34159

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

LCM = 31503991725 = 3 x 3 x 5 x 5 x 4099 x 34159

Step 4: Therefore, the least common multiple of 307425 and 307431 is 31503991725.