Least Common Multiple of 307425 and 307432

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 307432 the smallest integer that is 94512282600 that is divisible by both numbers.

Least Common Multiple (LCM) of 307425 and 307432 is 94512282600.

LCM(307425,307432) = 94512282600

LCM of 307425 and 307432

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

LCM of:
and

Least Common Multiple of 307425 and 307432

LCM of 307425 and 307432 is 94512282600

Least common multiple can be found by multiplying the highest exponent prime factors of 307425 and 307432. First we will calculate the prime factors of 307425 and 307432.

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 307432


2 307432
2 153716
2 76858
83 38429
463 463
1

Prime factors of 307432 are 2, 83,463. Prime factorization of 307432 in exponential form is:

307432 = 23×831×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 307425 and 307432.

LCM(307425,307432) = 23×31×52×831×4631×40991
LCM(307425,307432) = 94512282600

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 307432

List of positive integer factors of 307432 that divides 307432 without a remainder.

1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432

Least Common Multiple of 307425 and 307432 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 307432, than apply into the LCM equation.

GCF(307425,307432) = 1
LCM(307425,307432) = ( 307425 × 307432) / 1
LCM(307425,307432) = 94512282600 / 1
LCM(307425,307432) = 94512282600

Properties of LCM 307425 and 307432

(i) The LCM of 307432 and 307425 is associative

LCM of 307425 and 307432 = LCM of 307432 and 307425

Related Least Common Multiples of 307425

Related Least Common Multiples of 307432

Frequently Asked Questions on LCM of 307425 and 307432

1. What is the LCM of 307425 and 307432?

Answer: LCM of 307425 and 307432 is 94512282600.

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 307432?

Answer: Factors of 307432 are 1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432. There are 16 integers that are factors of 307432. The greatest factor of 307432 is 307432.

4. How to Find the LCM of 307425 and 307432?

Answer:

Least Common Multiple of 307425 and 307432 = 94512282600

Step 1: Find the prime factorization of 307425

307425 = 3 x 5 x 5 x 4099

Step 2: Find the prime factorization of 307432

307432 = 2 x 2 x 2 x 83 x 463

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

LCM = 94512282600 = 2 x 2 x 2 x 3 x 5 x 5 x 83 x 463 x 4099

Step 4: Therefore, the least common multiple of 307425 and 307432 is 94512282600.