Least Common Multiple of 75679 and 75681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 75679 and 75681 the smallest integer that is 5727462399 that is divisible by both numbers.

Least Common Multiple (LCM) of 75679 and 75681 is 5727462399.

LCM(75679,75681) = 5727462399

LCM of 75679 and 75681

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

LCM of:
and

Least Common Multiple of 75679 and 75681

LCM of 75679 and 75681 is 5727462399

Least common multiple can be found by multiplying the highest exponent prime factors of 75679 and 75681. First we will calculate the prime factors of 75679 and 75681.

Prime Factorization of 75679


75679 75679
1

Prime factors of 75679 are 75679. Prime factorization of 75679 in exponential form is:

75679 = 756791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 75679 and 75681.

LCM(75679,75681) = 33×28031×756791
LCM(75679,75681) = 5727462399

Factors of 75679

List of positive integer factors of 75679 that divides 75679 without a remainder.

1, 75679

Factors of 75681

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

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

Least Common Multiple of 75679 and 75681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75679 and 75681, than apply into the LCM equation.

GCF(75679,75681) = 1
LCM(75679,75681) = ( 75679 × 75681) / 1
LCM(75679,75681) = 5727462399 / 1
LCM(75679,75681) = 5727462399

Properties of LCM 75679 and 75681

(i) The LCM of 75681 and 75679 is associative

LCM of 75679 and 75681 = LCM of 75681 and 75679

Related Least Common Multiples of 75679

Related Least Common Multiples of 75681

Frequently Asked Questions on LCM of 75679 and 75681

1. What is the LCM of 75679 and 75681?

Answer: LCM of 75679 and 75681 is 5727462399.

2. What are the Factors of 75679?

Answer: Factors of 75679 are 1, 75679. There are 2 integers that are factors of 75679. The greatest factor of 75679 is 75679.

3. 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.

4. How to Find the LCM of 75679 and 75681?

Answer:

Least Common Multiple of 75679 and 75681 = 5727462399

Step 1: Find the prime factorization of 75679

75679 = 75679

Step 2: Find the prime factorization of 75681

75681 = 3 x 3 x 3 x 2803

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

LCM = 5727462399 = 3 x 3 x 3 x 2803 x 75679

Step 4: Therefore, the least common multiple of 75679 and 75681 is 5727462399.