Least Common Multiple of 7841 and 7845

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 7845 the smallest integer that is 61512645 that is divisible by both numbers.

Least Common Multiple (LCM) of 7841 and 7845 is 61512645.

LCM(7841,7845) = 61512645

LCM of 7841 and 7845

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

LCM of:
and

Least Common Multiple of 7841 and 7845

LCM of 7841 and 7845 is 61512645

Least common multiple can be found by multiplying the highest exponent prime factors of 7841 and 7845. First we will calculate the prime factors of 7841 and 7845.

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 7845


3 7845
5 2615
523 523
1

Prime factors of 7845 are 3, 5,523. Prime factorization of 7845 in exponential form is:

7845 = 31×51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 7841 and 7845.

LCM(7841,7845) = 31×51×5231×78411
LCM(7841,7845) = 61512645

Factors of 7841

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

1, 7841

Factors of 7845

List of positive integer factors of 7845 that divides 7845 without a remainder.

1, 3, 5, 15, 523, 1569, 2615, 7845

Least Common Multiple of 7841 and 7845 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 7845, than apply into the LCM equation.

GCF(7841,7845) = 1
LCM(7841,7845) = ( 7841 × 7845) / 1
LCM(7841,7845) = 61512645 / 1
LCM(7841,7845) = 61512645

Properties of LCM 7841 and 7845

(i) The LCM of 7845 and 7841 is associative

LCM of 7841 and 7845 = LCM of 7845 and 7841

Related Least Common Multiples of 7841

Related Least Common Multiples of 7845

Frequently Asked Questions on LCM of 7841 and 7845

1. What is the LCM of 7841 and 7845?

Answer: LCM of 7841 and 7845 is 61512645.

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 7845?

Answer: Factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845. There are 8 integers that are factors of 7845. The greatest factor of 7845 is 7845.

4. How to Find the LCM of 7841 and 7845?

Answer:

Least Common Multiple of 7841 and 7845 = 61512645

Step 1: Find the prime factorization of 7841

7841 = 7841

Step 2: Find the prime factorization of 7845

7845 = 3 x 5 x 523

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

LCM = 61512645 = 3 x 5 x 523 x 7841

Step 4: Therefore, the least common multiple of 7841 and 7845 is 61512645.