Least Common Multiple of 7850 and 7855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7850 and 7855 the smallest integer that is 12332350 that is divisible by both numbers.

Least Common Multiple (LCM) of 7850 and 7855 is 12332350.

LCM(7850,7855) = 12332350

LCM of 7850 and 7855

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

LCM of:
and

Least Common Multiple of 7850 and 7855

LCM of 7850 and 7855 is 12332350

Least common multiple can be found by multiplying the highest exponent prime factors of 7850 and 7855. First we will calculate the prime factors of 7850 and 7855.

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

Prime Factorization of 7855


5 7855
1571 1571
1

Prime factors of 7855 are 5,1571. Prime factorization of 7855 in exponential form is:

7855 = 51×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 7850 and 7855.

LCM(7850,7855) = 21×52×1571×15711
LCM(7850,7855) = 12332350

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

Factors of 7855

List of positive integer factors of 7855 that divides 7855 without a remainder.

1, 5, 1571, 7855

Least Common Multiple of 7850 and 7855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7850 and 7855, than apply into the LCM equation.

GCF(7850,7855) = 5
LCM(7850,7855) = ( 7850 × 7855) / 5
LCM(7850,7855) = 61661750 / 5
LCM(7850,7855) = 12332350

Properties of LCM 7850 and 7855

(i) The LCM of 7855 and 7850 is associative

LCM of 7850 and 7855 = LCM of 7855 and 7850

Related Least Common Multiples of 7850

Related Least Common Multiples of 7855

Frequently Asked Questions on LCM of 7850 and 7855

1. What is the LCM of 7850 and 7855?

Answer: LCM of 7850 and 7855 is 12332350.

2. 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.

3. What are the Factors of 7855?

Answer: Factors of 7855 are 1, 5, 1571, 7855. There are 4 integers that are factors of 7855. The greatest factor of 7855 is 7855.

4. How to Find the LCM of 7850 and 7855?

Answer:

Least Common Multiple of 7850 and 7855 = 12332350

Step 1: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

Step 2: Find the prime factorization of 7855

7855 = 5 x 1571

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

LCM = 12332350 = 2 x 5 x 5 x 157 x 1571

Step 4: Therefore, the least common multiple of 7850 and 7855 is 12332350.