Least Common Multiple of 7864 and 7870

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 7870 the smallest integer that is 30944840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7864 and 7870 is 30944840.

LCM(7864,7870) = 30944840

LCM of 7864 and 7870

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

LCM of:
and

Least Common Multiple of 7864 and 7870

LCM of 7864 and 7870 is 30944840

Least common multiple can be found by multiplying the highest exponent prime factors of 7864 and 7870. First we will calculate the prime factors of 7864 and 7870.

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 7870


2 7870
5 3935
787 787
1

Prime factors of 7870 are 2, 5,787. Prime factorization of 7870 in exponential form is:

7870 = 21×51×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 7864 and 7870.

LCM(7864,7870) = 23×51×7871×9831
LCM(7864,7870) = 30944840

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 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1, 2, 5, 10, 787, 1574, 3935, 7870

Least Common Multiple of 7864 and 7870 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 7870, than apply into the LCM equation.

GCF(7864,7870) = 2
LCM(7864,7870) = ( 7864 × 7870) / 2
LCM(7864,7870) = 61889680 / 2
LCM(7864,7870) = 30944840

Properties of LCM 7864 and 7870

(i) The LCM of 7870 and 7864 is associative

LCM of 7864 and 7870 = LCM of 7870 and 7864

Related Least Common Multiples of 7864

Related Least Common Multiples of 7870

Frequently Asked Questions on LCM of 7864 and 7870

1. What is the LCM of 7864 and 7870?

Answer: LCM of 7864 and 7870 is 30944840.

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 7870?

Answer: Factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870. There are 8 integers that are factors of 7870. The greatest factor of 7870 is 7870.

4. How to Find the LCM of 7864 and 7870?

Answer:

Least Common Multiple of 7864 and 7870 = 30944840

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 7870

7870 = 2 x 5 x 787

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

LCM = 30944840 = 2 x 2 x 2 x 5 x 787 x 983

Step 4: Therefore, the least common multiple of 7864 and 7870 is 30944840.