Least Common Multiple of 7846 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 7846 and 7850 the smallest integer that is 30795550 that is divisible by both numbers.

Least Common Multiple (LCM) of 7846 and 7850 is 30795550.

LCM(7846,7850) = 30795550

LCM of 7846 and 7850

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

LCM of:
and

Least Common Multiple of 7846 and 7850

LCM of 7846 and 7850 is 30795550

Least common multiple can be found by multiplying the highest exponent prime factors of 7846 and 7850. First we will calculate the prime factors of 7846 and 7850.

Prime Factorization of 7846


2 7846
3923 3923
1

Prime factors of 7846 are 2,3923. Prime factorization of 7846 in exponential form is:

7846 = 21×39231

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 7846 and 7850.

LCM(7846,7850) = 21×52×1571×39231
LCM(7846,7850) = 30795550

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1, 2, 3923, 7846

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 7846 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 7846 and 7850, than apply into the LCM equation.

GCF(7846,7850) = 2
LCM(7846,7850) = ( 7846 × 7850) / 2
LCM(7846,7850) = 61591100 / 2
LCM(7846,7850) = 30795550

Properties of LCM 7846 and 7850

(i) The LCM of 7850 and 7846 is associative

LCM of 7846 and 7850 = LCM of 7850 and 7846

Related Least Common Multiples of 7846

Related Least Common Multiples of 7850

Frequently Asked Questions on LCM of 7846 and 7850

1. What is the LCM of 7846 and 7850?

Answer: LCM of 7846 and 7850 is 30795550.

2. What are the Factors of 7846?

Answer: Factors of 7846 are 1, 2, 3923, 7846. There are 4 integers that are factors of 7846. The greatest factor of 7846 is 7846.

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 7846 and 7850?

Answer:

Least Common Multiple of 7846 and 7850 = 30795550

Step 1: Find the prime factorization of 7846

7846 = 2 x 3923

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 = 30795550 = 2 x 5 x 5 x 157 x 3923

Step 4: Therefore, the least common multiple of 7846 and 7850 is 30795550.