Least Common Multiple of 7869 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 7869 and 7870 the smallest integer that is 61929030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7869 and 7870 is 61929030.

LCM(7869,7870) = 61929030

LCM of 7869 and 7870

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

LCM of:
and

Least Common Multiple of 7869 and 7870

LCM of 7869 and 7870 is 61929030

Least common multiple can be found by multiplying the highest exponent prime factors of 7869 and 7870. First we will calculate the prime factors of 7869 and 7870.

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

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 7869 and 7870.

LCM(7869,7870) = 21×31×51×431×611×7871
LCM(7869,7870) = 61929030

Factors of 7869

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

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

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 7869 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 7869 and 7870, than apply into the LCM equation.

GCF(7869,7870) = 1
LCM(7869,7870) = ( 7869 × 7870) / 1
LCM(7869,7870) = 61929030 / 1
LCM(7869,7870) = 61929030

Properties of LCM 7869 and 7870

(i) The LCM of 7870 and 7869 is associative

LCM of 7869 and 7870 = LCM of 7870 and 7869

Related Least Common Multiples of 7869

Related Least Common Multiples of 7870

Frequently Asked Questions on LCM of 7869 and 7870

1. What is the LCM of 7869 and 7870?

Answer: LCM of 7869 and 7870 is 61929030.

2. 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.

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 7869 and 7870?

Answer:

Least Common Multiple of 7869 and 7870 = 61929030

Step 1: Find the prime factorization of 7869

7869 = 3 x 43 x 61

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 = 61929030 = 2 x 3 x 5 x 43 x 61 x 787

Step 4: Therefore, the least common multiple of 7869 and 7870 is 61929030.