Least Common Multiple of 7842 and 7843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7842 and 7843 the smallest integer that is 61504806 that is divisible by both numbers.

Least Common Multiple (LCM) of 7842 and 7843 is 61504806.

LCM(7842,7843) = 61504806

LCM of 7842 and 7843

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

LCM of:
and

Least Common Multiple of 7842 and 7843

LCM of 7842 and 7843 is 61504806

Least common multiple can be found by multiplying the highest exponent prime factors of 7842 and 7843. First we will calculate the prime factors of 7842 and 7843.

Prime Factorization of 7842


2 7842
3 3921
1307 1307
1

Prime factors of 7842 are 2, 3,1307. Prime factorization of 7842 in exponential form is:

7842 = 21×31×13071

Prime Factorization of 7843


11 7843
23 713
31 31
1

Prime factors of 7843 are 11, 23,31. Prime factorization of 7843 in exponential form is:

7843 = 111×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7842 and 7843.

LCM(7842,7843) = 21×31×111×231×311×13071
LCM(7842,7843) = 61504806

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1, 2, 3, 6, 1307, 2614, 3921, 7842

Factors of 7843

List of positive integer factors of 7843 that divides 7843 without a remainder.

1, 11, 23, 31, 253, 341, 713, 7843

Least Common Multiple of 7842 and 7843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7842 and 7843, than apply into the LCM equation.

GCF(7842,7843) = 1
LCM(7842,7843) = ( 7842 × 7843) / 1
LCM(7842,7843) = 61504806 / 1
LCM(7842,7843) = 61504806

Properties of LCM 7842 and 7843

(i) The LCM of 7843 and 7842 is associative

LCM of 7842 and 7843 = LCM of 7843 and 7842

Related Least Common Multiples of 7842

Related Least Common Multiples of 7843

Frequently Asked Questions on LCM of 7842 and 7843

1. What is the LCM of 7842 and 7843?

Answer: LCM of 7842 and 7843 is 61504806.

2. What are the Factors of 7842?

Answer: Factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842. There are 8 integers that are factors of 7842. The greatest factor of 7842 is 7842.

3. What are the Factors of 7843?

Answer: Factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843. There are 8 integers that are factors of 7843. The greatest factor of 7843 is 7843.

4. How to Find the LCM of 7842 and 7843?

Answer:

Least Common Multiple of 7842 and 7843 = 61504806

Step 1: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

Step 2: Find the prime factorization of 7843

7843 = 11 x 23 x 31

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

LCM = 61504806 = 2 x 3 x 11 x 23 x 31 x 1307

Step 4: Therefore, the least common multiple of 7842 and 7843 is 61504806.