Least Common Multiple of 7864 and 7871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7864 and 7871 the smallest integer that is 61897544 that is divisible by both numbers.

Least Common Multiple (LCM) of 7864 and 7871 is 61897544.

LCM(7864,7871) = 61897544

LCM of 7864 and 7871

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

LCM of:
and

Least Common Multiple of 7864 and 7871

LCM of 7864 and 7871 is 61897544

Least common multiple can be found by multiplying the highest exponent prime factors of 7864 and 7871. First we will calculate the prime factors of 7864 and 7871.

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

Prime Factorization of 7871


17 7871
463 463
1

Prime factors of 7871 are 17,463. Prime factorization of 7871 in exponential form is:

7871 = 171×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 7864 and 7871.

LCM(7864,7871) = 23×171×4631×9831
LCM(7864,7871) = 61897544

Factors of 7864

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

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

Factors of 7871

List of positive integer factors of 7871 that divides 7871 without a remainder.

1, 17, 463, 7871

Least Common Multiple of 7864 and 7871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7864 and 7871, than apply into the LCM equation.

GCF(7864,7871) = 1
LCM(7864,7871) = ( 7864 × 7871) / 1
LCM(7864,7871) = 61897544 / 1
LCM(7864,7871) = 61897544

Properties of LCM 7864 and 7871

(i) The LCM of 7871 and 7864 is associative

LCM of 7864 and 7871 = LCM of 7871 and 7864

Related Least Common Multiples of 7864

Related Least Common Multiples of 7871

Frequently Asked Questions on LCM of 7864 and 7871

1. What is the LCM of 7864 and 7871?

Answer: LCM of 7864 and 7871 is 61897544.

2. 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.

3. What are the Factors of 7871?

Answer: Factors of 7871 are 1, 17, 463, 7871. There are 4 integers that are factors of 7871. The greatest factor of 7871 is 7871.

4. How to Find the LCM of 7864 and 7871?

Answer:

Least Common Multiple of 7864 and 7871 = 61897544

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 7871

7871 = 17 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 = 61897544 = 2 x 2 x 2 x 17 x 463 x 983

Step 4: Therefore, the least common multiple of 7864 and 7871 is 61897544.