Least Common Multiple of 849 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 849 and 850 the smallest integer that is 721650 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 850 is 721650.

LCM(849,850) = 721650

LCM of 849 and 850

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

LCM of:
and

Least Common Multiple of 849 and 850

LCM of 849 and 850 is 721650

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 850. First we will calculate the prime factors of 849 and 850.

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

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 849 and 850.

LCM(849,850) = 21×31×52×171×2831
LCM(849,850) = 721650

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 849 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 849 and 850, than apply into the LCM equation.

GCF(849,850) = 1
LCM(849,850) = ( 849 × 850) / 1
LCM(849,850) = 721650 / 1
LCM(849,850) = 721650

Properties of LCM 849 and 850

(i) The LCM of 850 and 849 is associative

LCM of 849 and 850 = LCM of 850 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 849 and 850

1. What is the LCM of 849 and 850?

Answer: LCM of 849 and 850 is 721650.

2. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

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 849 and 850?

Answer:

Least Common Multiple of 849 and 850 = 721650

Step 1: Find the prime factorization of 849

849 = 3 x 283

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 = 721650 = 2 x 3 x 5 x 5 x 17 x 283

Step 4: Therefore, the least common multiple of 849 and 850 is 721650.