Least Common Multiple of 7868 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 7868 and 7871 the smallest integer that is 61929028 that is divisible by both numbers.

Least Common Multiple (LCM) of 7868 and 7871 is 61929028.

LCM(7868,7871) = 61929028

LCM of 7868 and 7871

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

LCM of:
and

Least Common Multiple of 7868 and 7871

LCM of 7868 and 7871 is 61929028

Least common multiple can be found by multiplying the highest exponent prime factors of 7868 and 7871. First we will calculate the prime factors of 7868 and 7871.

Prime Factorization of 7868


2 7868
2 3934
7 1967
281 281
1

Prime factors of 7868 are 2, 7,281. Prime factorization of 7868 in exponential form is:

7868 = 22×71×2811

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 7868 and 7871.

LCM(7868,7871) = 22×71×171×2811×4631
LCM(7868,7871) = 61929028

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1, 2, 4, 7, 14, 28, 281, 562, 1124, 1967, 3934, 7868

Factors of 7871

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

1, 17, 463, 7871

Least Common Multiple of 7868 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 7868 and 7871, than apply into the LCM equation.

GCF(7868,7871) = 1
LCM(7868,7871) = ( 7868 × 7871) / 1
LCM(7868,7871) = 61929028 / 1
LCM(7868,7871) = 61929028

Properties of LCM 7868 and 7871

(i) The LCM of 7871 and 7868 is associative

LCM of 7868 and 7871 = LCM of 7871 and 7868

Related Least Common Multiples of 7868

Related Least Common Multiples of 7871

Frequently Asked Questions on LCM of 7868 and 7871

1. What is the LCM of 7868 and 7871?

Answer: LCM of 7868 and 7871 is 61929028.

2. What are the Factors of 7868?

Answer: Factors of 7868 are 1, 2, 4, 7, 14, 28, 281, 562, 1124, 1967, 3934, 7868. There are 12 integers that are factors of 7868. The greatest factor of 7868 is 7868.

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 7868 and 7871?

Answer:

Least Common Multiple of 7868 and 7871 = 61929028

Step 1: Find the prime factorization of 7868

7868 = 2 x 2 x 7 x 281

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 = 61929028 = 2 x 2 x 7 x 17 x 281 x 463

Step 4: Therefore, the least common multiple of 7868 and 7871 is 61929028.