Least Common Multiple of 7870 and 7878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7870 and 7878 the smallest integer that is 30999930 that is divisible by both numbers.

Least Common Multiple (LCM) of 7870 and 7878 is 30999930.

LCM(7870,7878) = 30999930

LCM of 7870 and 7878

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

LCM of:
and

Least Common Multiple of 7870 and 7878

LCM of 7870 and 7878 is 30999930

Least common multiple can be found by multiplying the highest exponent prime factors of 7870 and 7878. First we will calculate the prime factors of 7870 and 7878.

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

Prime Factorization of 7878


2 7878
3 3939
13 1313
101 101
1

Prime factors of 7878 are 2, 3, 13,101. Prime factorization of 7878 in exponential form is:

7878 = 21×31×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7870 and 7878.

LCM(7870,7878) = 21×31×51×131×1011×7871
LCM(7870,7878) = 30999930

Factors of 7870

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

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

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878

Least Common Multiple of 7870 and 7878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7870 and 7878, than apply into the LCM equation.

GCF(7870,7878) = 2
LCM(7870,7878) = ( 7870 × 7878) / 2
LCM(7870,7878) = 61999860 / 2
LCM(7870,7878) = 30999930

Properties of LCM 7870 and 7878

(i) The LCM of 7878 and 7870 is associative

LCM of 7870 and 7878 = LCM of 7878 and 7870

Related Least Common Multiples of 7870

Related Least Common Multiples of 7878

Frequently Asked Questions on LCM of 7870 and 7878

1. What is the LCM of 7870 and 7878?

Answer: LCM of 7870 and 7878 is 30999930.

2. 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.

3. What are the Factors of 7878?

Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.

4. How to Find the LCM of 7870 and 7878?

Answer:

Least Common Multiple of 7870 and 7878 = 30999930

Step 1: Find the prime factorization of 7870

7870 = 2 x 5 x 787

Step 2: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

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

LCM = 30999930 = 2 x 3 x 5 x 13 x 101 x 787

Step 4: Therefore, the least common multiple of 7870 and 7878 is 30999930.