Least Common Multiple of 7845 and 7850

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 7850 the smallest integer that is 12316650 that is divisible by both numbers.

Least Common Multiple (LCM) of 7845 and 7850 is 12316650.

LCM(7845,7850) = 12316650

LCM of 7845 and 7850

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

LCM of:
and

Least Common Multiple of 7845 and 7850

LCM of 7845 and 7850 is 12316650

Least common multiple can be found by multiplying the highest exponent prime factors of 7845 and 7850. First we will calculate the prime factors of 7845 and 7850.

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 7850


2 7850
5 3925
5 785
157 157
1

Prime factors of 7850 are 2, 5,157. Prime factorization of 7850 in exponential form is:

7850 = 21×52×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7845 and 7850.

LCM(7845,7850) = 21×31×52×1571×5231
LCM(7845,7850) = 12316650

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 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850

Least Common Multiple of 7845 and 7850 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 7850, than apply into the LCM equation.

GCF(7845,7850) = 5
LCM(7845,7850) = ( 7845 × 7850) / 5
LCM(7845,7850) = 61583250 / 5
LCM(7845,7850) = 12316650

Properties of LCM 7845 and 7850

(i) The LCM of 7850 and 7845 is associative

LCM of 7845 and 7850 = LCM of 7850 and 7845

Related Least Common Multiples of 7845

Related Least Common Multiples of 7850

Frequently Asked Questions on LCM of 7845 and 7850

1. What is the LCM of 7845 and 7850?

Answer: LCM of 7845 and 7850 is 12316650.

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 7850?

Answer: Factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850. There are 12 integers that are factors of 7850. The greatest factor of 7850 is 7850.

4. How to Find the LCM of 7845 and 7850?

Answer:

Least Common Multiple of 7845 and 7850 = 12316650

Step 1: Find the prime factorization of 7845

7845 = 3 x 5 x 523

Step 2: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

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

LCM = 12316650 = 2 x 3 x 5 x 5 x 157 x 523

Step 4: Therefore, the least common multiple of 7845 and 7850 is 12316650.