Least Common Multiple of 845 and 850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 845 and 850 the smallest integer that is 143650 that is divisible by both numbers.

Least Common Multiple (LCM) of 845 and 850 is 143650.

LCM(845,850) = 143650

LCM of 845 and 850

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

LCM of:
and

Least Common Multiple of 845 and 850

LCM of 845 and 850 is 143650

Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 850. First we will calculate the prime factors of 845 and 850.

Prime Factorization of 845


5 845
13 169
13 13
1

Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:

845 = 51×132

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 845 and 850.

LCM(845,850) = 21×52×132×171
LCM(845,850) = 143650

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Least Common Multiple of 845 and 850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 845 and 850, than apply into the LCM equation.

GCF(845,850) = 5
LCM(845,850) = ( 845 × 850) / 5
LCM(845,850) = 718250 / 5
LCM(845,850) = 143650

Properties of LCM 845 and 850

(i) The LCM of 850 and 845 is associative

LCM of 845 and 850 = LCM of 850 and 845

Related Least Common Multiples of 845

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 845 and 850

1. What is the LCM of 845 and 850?

Answer: LCM of 845 and 850 is 143650.

2. What are the Factors of 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

3. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

4. How to Find the LCM of 845 and 850?

Answer:

Least Common Multiple of 845 and 850 = 143650

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

Step 2: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

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

LCM = 143650 = 2 x 5 x 5 x 13 x 13 x 17

Step 4: Therefore, the least common multiple of 845 and 850 is 143650.