Least Common Multiple of 7864 and 7869

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 7869 the smallest integer that is 61881816 that is divisible by both numbers.

Least Common Multiple (LCM) of 7864 and 7869 is 61881816.

LCM(7864,7869) = 61881816

LCM of 7864 and 7869

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

LCM of:
and

Least Common Multiple of 7864 and 7869

LCM of 7864 and 7869 is 61881816

Least common multiple can be found by multiplying the highest exponent prime factors of 7864 and 7869. First we will calculate the prime factors of 7864 and 7869.

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 7869


3 7869
43 2623
61 61
1

Prime factors of 7869 are 3, 43,61. Prime factorization of 7869 in exponential form is:

7869 = 31×431×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7864 and 7869.

LCM(7864,7869) = 23×31×431×611×9831
LCM(7864,7869) = 61881816

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 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1, 3, 43, 61, 129, 183, 2623, 7869

Least Common Multiple of 7864 and 7869 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 7869, than apply into the LCM equation.

GCF(7864,7869) = 1
LCM(7864,7869) = ( 7864 × 7869) / 1
LCM(7864,7869) = 61881816 / 1
LCM(7864,7869) = 61881816

Properties of LCM 7864 and 7869

(i) The LCM of 7869 and 7864 is associative

LCM of 7864 and 7869 = LCM of 7869 and 7864

Related Least Common Multiples of 7864

Related Least Common Multiples of 7869

Frequently Asked Questions on LCM of 7864 and 7869

1. What is the LCM of 7864 and 7869?

Answer: LCM of 7864 and 7869 is 61881816.

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 7869?

Answer: Factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869. There are 8 integers that are factors of 7869. The greatest factor of 7869 is 7869.

4. How to Find the LCM of 7864 and 7869?

Answer:

Least Common Multiple of 7864 and 7869 = 61881816

Step 1: Find the prime factorization of 7864

7864 = 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 7869

7869 = 3 x 43 x 61

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

LCM = 61881816 = 2 x 2 x 2 x 3 x 43 x 61 x 983

Step 4: Therefore, the least common multiple of 7864 and 7869 is 61881816.