Least Common Multiple of 7862 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 7862 and 7870 the smallest integer that is 30936970 that is divisible by both numbers.

Least Common Multiple (LCM) of 7862 and 7870 is 30936970.

LCM(7862,7870) = 30936970

LCM of 7862 and 7870

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

LCM of:
and

Least Common Multiple of 7862 and 7870

LCM of 7862 and 7870 is 30936970

Least common multiple can be found by multiplying the highest exponent prime factors of 7862 and 7870. First we will calculate the prime factors of 7862 and 7870.

Prime Factorization of 7862


2 7862
3931 3931
1

Prime factors of 7862 are 2,3931. Prime factorization of 7862 in exponential form is:

7862 = 21×39311

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 7862 and 7870.

LCM(7862,7870) = 21×51×7871×39311
LCM(7862,7870) = 30936970

Factors of 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1, 2, 3931, 7862

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 7862 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 7862 and 7870, than apply into the LCM equation.

GCF(7862,7870) = 2
LCM(7862,7870) = ( 7862 × 7870) / 2
LCM(7862,7870) = 61873940 / 2
LCM(7862,7870) = 30936970

Properties of LCM 7862 and 7870

(i) The LCM of 7870 and 7862 is associative

LCM of 7862 and 7870 = LCM of 7870 and 7862

Related Least Common Multiples of 7862

Related Least Common Multiples of 7870

Frequently Asked Questions on LCM of 7862 and 7870

1. What is the LCM of 7862 and 7870?

Answer: LCM of 7862 and 7870 is 30936970.

2. What are the Factors of 7862?

Answer: Factors of 7862 are 1, 2, 3931, 7862. There are 4 integers that are factors of 7862. The greatest factor of 7862 is 7862.

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 7862 and 7870?

Answer:

Least Common Multiple of 7862 and 7870 = 30936970

Step 1: Find the prime factorization of 7862

7862 = 2 x 3931

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 = 30936970 = 2 x 5 x 787 x 3931

Step 4: Therefore, the least common multiple of 7862 and 7870 is 30936970.