Least Common Multiple of 75681 and 75684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75681 and 75684 the smallest integer that is 1909280268 that is divisible by both numbers.

Least Common Multiple (LCM) of 75681 and 75684 is 1909280268.

LCM(75681,75684) = 1909280268

LCM of 75681 and 75684

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

LCM of:
and

Least Common Multiple of 75681 and 75684

LCM of 75681 and 75684 is 1909280268

Least common multiple can be found by multiplying the highest exponent prime factors of 75681 and 75684. First we will calculate the prime factors of 75681 and 75684.

Prime Factorization of 75681


3 75681
3 25227
3 8409
2803 2803
1

Prime factors of 75681 are 3,2803. Prime factorization of 75681 in exponential form is:

75681 = 33×28031

Prime Factorization of 75684


2 75684
2 37842
3 18921
7 6307
17 901
53 53
1

Prime factors of 75684 are 2, 3, 7, 17,53. Prime factorization of 75684 in exponential form is:

75684 = 22×31×71×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 75681 and 75684.

LCM(75681,75684) = 22×33×71×171×531×28031
LCM(75681,75684) = 1909280268

Factors of 75681

List of positive integer factors of 75681 that divides 75681 without a remainder.

1, 3, 9, 27, 2803, 8409, 25227, 75681

Factors of 75684

List of positive integer factors of 75684 that divides 75684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 53, 68, 84, 102, 106, 119, 159, 204, 212, 238, 318, 357, 371, 476, 636, 714, 742, 901, 1113, 1428, 1484, 1802, 2226, 2703, 3604, 4452, 5406, 6307, 10812, 12614, 18921, 25228, 37842, 75684

Least Common Multiple of 75681 and 75684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75681 and 75684, than apply into the LCM equation.

GCF(75681,75684) = 3
LCM(75681,75684) = ( 75681 × 75684) / 3
LCM(75681,75684) = 5727840804 / 3
LCM(75681,75684) = 1909280268

Properties of LCM 75681 and 75684

(i) The LCM of 75684 and 75681 is associative

LCM of 75681 and 75684 = LCM of 75684 and 75681

Related Least Common Multiples of 75681

Related Least Common Multiples of 75684

Frequently Asked Questions on LCM of 75681 and 75684

1. What is the LCM of 75681 and 75684?

Answer: LCM of 75681 and 75684 is 1909280268.

2. What are the Factors of 75681?

Answer: Factors of 75681 are 1, 3, 9, 27, 2803, 8409, 25227, 75681. There are 8 integers that are factors of 75681. The greatest factor of 75681 is 75681.

3. What are the Factors of 75684?

Answer: Factors of 75684 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 53, 68, 84, 102, 106, 119, 159, 204, 212, 238, 318, 357, 371, 476, 636, 714, 742, 901, 1113, 1428, 1484, 1802, 2226, 2703, 3604, 4452, 5406, 6307, 10812, 12614, 18921, 25228, 37842, 75684. There are 48 integers that are factors of 75684. The greatest factor of 75684 is 75684.

4. How to Find the LCM of 75681 and 75684?

Answer:

Least Common Multiple of 75681 and 75684 = 1909280268

Step 1: Find the prime factorization of 75681

75681 = 3 x 3 x 3 x 2803

Step 2: Find the prime factorization of 75684

75684 = 2 x 2 x 3 x 7 x 17 x 53

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

LCM = 1909280268 = 2 x 2 x 3 x 3 x 3 x 7 x 17 x 53 x 2803

Step 4: Therefore, the least common multiple of 75681 and 75684 is 1909280268.