Least Common Multiple of 7864 and 7868

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 7868 the smallest integer that is 15468488 that is divisible by both numbers.

Least Common Multiple (LCM) of 7864 and 7868 is 15468488.

LCM(7864,7868) = 15468488

LCM of 7864 and 7868

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

LCM of:
and

Least Common Multiple of 7864 and 7868

LCM of 7864 and 7868 is 15468488

Least common multiple can be found by multiplying the highest exponent prime factors of 7864 and 7868. First we will calculate the prime factors of 7864 and 7868.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7864 and 7868.

LCM(7864,7868) = 23×71×2811×9831
LCM(7864,7868) = 15468488

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 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

Least Common Multiple of 7864 and 7868 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 7868, than apply into the LCM equation.

GCF(7864,7868) = 4
LCM(7864,7868) = ( 7864 × 7868) / 4
LCM(7864,7868) = 61873952 / 4
LCM(7864,7868) = 15468488

Properties of LCM 7864 and 7868

(i) The LCM of 7868 and 7864 is associative

LCM of 7864 and 7868 = LCM of 7868 and 7864

Related Least Common Multiples of 7864

Related Least Common Multiples of 7868

Frequently Asked Questions on LCM of 7864 and 7868

1. What is the LCM of 7864 and 7868?

Answer: LCM of 7864 and 7868 is 15468488.

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 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.

4. How to Find the LCM of 7864 and 7868?

Answer:

Least Common Multiple of 7864 and 7868 = 15468488

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 7868

7868 = 2 x 2 x 7 x 281

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

LCM = 15468488 = 2 x 2 x 2 x 7 x 281 x 983

Step 4: Therefore, the least common multiple of 7864 and 7868 is 15468488.