Least Common Multiple of 7845 and 7849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7845 and 7849 the smallest integer that is 61575405 that is divisible by both numbers.

Least Common Multiple (LCM) of 7845 and 7849 is 61575405.

LCM(7845,7849) = 61575405

LCM of 7845 and 7849

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

LCM of:
and

Least Common Multiple of 7845 and 7849

LCM of 7845 and 7849 is 61575405

Least common multiple can be found by multiplying the highest exponent prime factors of 7845 and 7849. First we will calculate the prime factors of 7845 and 7849.

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

Prime Factorization of 7849


47 7849
167 167
1

Prime factors of 7849 are 47,167. Prime factorization of 7849 in exponential form is:

7849 = 471×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 7845 and 7849.

LCM(7845,7849) = 31×51×471×1671×5231
LCM(7845,7849) = 61575405

Factors of 7845

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

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

Factors of 7849

List of positive integer factors of 7849 that divides 7849 without a remainder.

1, 47, 167, 7849

Least Common Multiple of 7845 and 7849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7845 and 7849, than apply into the LCM equation.

GCF(7845,7849) = 1
LCM(7845,7849) = ( 7845 × 7849) / 1
LCM(7845,7849) = 61575405 / 1
LCM(7845,7849) = 61575405

Properties of LCM 7845 and 7849

(i) The LCM of 7849 and 7845 is associative

LCM of 7845 and 7849 = LCM of 7849 and 7845

Related Least Common Multiples of 7845

Related Least Common Multiples of 7849

Frequently Asked Questions on LCM of 7845 and 7849

1. What is the LCM of 7845 and 7849?

Answer: LCM of 7845 and 7849 is 61575405.

2. 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.

3. What are the Factors of 7849?

Answer: Factors of 7849 are 1, 47, 167, 7849. There are 4 integers that are factors of 7849. The greatest factor of 7849 is 7849.

4. How to Find the LCM of 7845 and 7849?

Answer:

Least Common Multiple of 7845 and 7849 = 61575405

Step 1: Find the prime factorization of 7845

7845 = 3 x 5 x 523

Step 2: Find the prime factorization of 7849

7849 = 47 x 167

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

LCM = 61575405 = 3 x 5 x 47 x 167 x 523

Step 4: Therefore, the least common multiple of 7845 and 7849 is 61575405.