Least Common Multiple of 7854 and 7862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7854 and 7862 the smallest integer that is 30874074 that is divisible by both numbers.

Least Common Multiple (LCM) of 7854 and 7862 is 30874074.

LCM(7854,7862) = 30874074

LCM of 7854 and 7862

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

LCM of:
and

Least Common Multiple of 7854 and 7862

LCM of 7854 and 7862 is 30874074

Least common multiple can be found by multiplying the highest exponent prime factors of 7854 and 7862. First we will calculate the prime factors of 7854 and 7862.

Prime Factorization of 7854


2 7854
3 3927
7 1309
11 187
17 17
1

Prime factors of 7854 are 2, 3, 7, 11,17. Prime factorization of 7854 in exponential form is:

7854 = 21×31×71×111×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7854 and 7862.

LCM(7854,7862) = 21×31×71×111×171×39311
LCM(7854,7862) = 30874074

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854

Factors of 7862

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

1, 2, 3931, 7862

Least Common Multiple of 7854 and 7862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7854 and 7862, than apply into the LCM equation.

GCF(7854,7862) = 2
LCM(7854,7862) = ( 7854 × 7862) / 2
LCM(7854,7862) = 61748148 / 2
LCM(7854,7862) = 30874074

Properties of LCM 7854 and 7862

(i) The LCM of 7862 and 7854 is associative

LCM of 7854 and 7862 = LCM of 7862 and 7854

Related Least Common Multiples of 7854

Related Least Common Multiples of 7862

Frequently Asked Questions on LCM of 7854 and 7862

1. What is the LCM of 7854 and 7862?

Answer: LCM of 7854 and 7862 is 30874074.

2. What are the Factors of 7854?

Answer: Factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854. There are 32 integers that are factors of 7854. The greatest factor of 7854 is 7854.

3. 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.

4. How to Find the LCM of 7854 and 7862?

Answer:

Least Common Multiple of 7854 and 7862 = 30874074

Step 1: Find the prime factorization of 7854

7854 = 2 x 3 x 7 x 11 x 17

Step 2: Find the prime factorization of 7862

7862 = 2 x 3931

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

LCM = 30874074 = 2 x 3 x 7 x 11 x 17 x 3931

Step 4: Therefore, the least common multiple of 7854 and 7862 is 30874074.