Least Common Multiple of 7857 and 7864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7857 and 7864 the smallest integer that is 61787448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7857 and 7864 is 61787448.

LCM(7857,7864) = 61787448

LCM of 7857 and 7864

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

LCM of:
and

Least Common Multiple of 7857 and 7864

LCM of 7857 and 7864 is 61787448

Least common multiple can be found by multiplying the highest exponent prime factors of 7857 and 7864. First we will calculate the prime factors of 7857 and 7864.

Prime Factorization of 7857


3 7857
3 2619
3 873
3 291
97 97
1

Prime factors of 7857 are 3,97. Prime factorization of 7857 in exponential form is:

7857 = 34×971

Prime Factorization of 7864


2 7864
2 3932
2 1966
983 983
1

Prime factors of 7864 are 2,983. Prime factorization of 7864 in exponential form is:

7864 = 23×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 7857 and 7864.

LCM(7857,7864) = 23×34×971×9831
LCM(7857,7864) = 61787448

Factors of 7857

List of positive integer factors of 7857 that divides 7857 without a remainder.

1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857

Factors of 7864

List of positive integer factors of 7864 that divides 7864 without a remainder.

1, 2, 4, 8, 983, 1966, 3932, 7864

Least Common Multiple of 7857 and 7864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7857 and 7864, than apply into the LCM equation.

GCF(7857,7864) = 1
LCM(7857,7864) = ( 7857 × 7864) / 1
LCM(7857,7864) = 61787448 / 1
LCM(7857,7864) = 61787448

Properties of LCM 7857 and 7864

(i) The LCM of 7864 and 7857 is associative

LCM of 7857 and 7864 = LCM of 7864 and 7857

Related Least Common Multiples of 7857

Related Least Common Multiples of 7864

Frequently Asked Questions on LCM of 7857 and 7864

1. What is the LCM of 7857 and 7864?

Answer: LCM of 7857 and 7864 is 61787448.

2. What are the Factors of 7857?

Answer: Factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857. There are 10 integers that are factors of 7857. The greatest factor of 7857 is 7857.

3. What are the Factors of 7864?

Answer: Factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864. There are 8 integers that are factors of 7864. The greatest factor of 7864 is 7864.

4. How to Find the LCM of 7857 and 7864?

Answer:

Least Common Multiple of 7857 and 7864 = 61787448

Step 1: Find the prime factorization of 7857

7857 = 3 x 3 x 3 x 3 x 97

Step 2: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

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

LCM = 61787448 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 97 x 983

Step 4: Therefore, the least common multiple of 7857 and 7864 is 61787448.