Least Common Multiple of 7841 and 7842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7841 and 7842 the smallest integer that is 61489122 that is divisible by both numbers.

Least Common Multiple (LCM) of 7841 and 7842 is 61489122.

LCM(7841,7842) = 61489122

LCM of 7841 and 7842

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

LCM of:
and

Least Common Multiple of 7841 and 7842

LCM of 7841 and 7842 is 61489122

Least common multiple can be found by multiplying the highest exponent prime factors of 7841 and 7842. First we will calculate the prime factors of 7841 and 7842.

Prime Factorization of 7841


7841 7841
1

Prime factors of 7841 are 7841. Prime factorization of 7841 in exponential form is:

7841 = 78411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7841 and 7842.

LCM(7841,7842) = 21×31×13071×78411
LCM(7841,7842) = 61489122

Factors of 7841

List of positive integer factors of 7841 that divides 7841 without a remainder.

1, 7841

Factors of 7842

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

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

Least Common Multiple of 7841 and 7842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7841 and 7842, than apply into the LCM equation.

GCF(7841,7842) = 1
LCM(7841,7842) = ( 7841 × 7842) / 1
LCM(7841,7842) = 61489122 / 1
LCM(7841,7842) = 61489122

Properties of LCM 7841 and 7842

(i) The LCM of 7842 and 7841 is associative

LCM of 7841 and 7842 = LCM of 7842 and 7841

Related Least Common Multiples of 7841

Related Least Common Multiples of 7842

Frequently Asked Questions on LCM of 7841 and 7842

1. What is the LCM of 7841 and 7842?

Answer: LCM of 7841 and 7842 is 61489122.

2. What are the Factors of 7841?

Answer: Factors of 7841 are 1, 7841. There are 2 integers that are factors of 7841. The greatest factor of 7841 is 7841.

3. 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.

4. How to Find the LCM of 7841 and 7842?

Answer:

Least Common Multiple of 7841 and 7842 = 61489122

Step 1: Find the prime factorization of 7841

7841 = 7841

Step 2: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

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

LCM = 61489122 = 2 x 3 x 1307 x 7841

Step 4: Therefore, the least common multiple of 7841 and 7842 is 61489122.