Least Common Multiple of 842 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 842 and 850 the smallest integer that is 357850 that is divisible by both numbers.

Least Common Multiple (LCM) of 842 and 850 is 357850.

LCM(842,850) = 357850

LCM of 842 and 850

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

LCM of:
and

Least Common Multiple of 842 and 850

LCM of 842 and 850 is 357850

Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 850. First we will calculate the prime factors of 842 and 850.

Prime Factorization of 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

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 842 and 850.

LCM(842,850) = 21×52×171×4211
LCM(842,850) = 357850

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1, 2, 421, 842

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 842 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 842 and 850, than apply into the LCM equation.

GCF(842,850) = 2
LCM(842,850) = ( 842 × 850) / 2
LCM(842,850) = 715700 / 2
LCM(842,850) = 357850

Properties of LCM 842 and 850

(i) The LCM of 850 and 842 is associative

LCM of 842 and 850 = LCM of 850 and 842

Related Least Common Multiples of 842

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 842 and 850

1. What is the LCM of 842 and 850?

Answer: LCM of 842 and 850 is 357850.

2. What are the Factors of 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

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 842 and 850?

Answer:

Least Common Multiple of 842 and 850 = 357850

Step 1: Find the prime factorization of 842

842 = 2 x 421

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 = 357850 = 2 x 5 x 5 x 17 x 421

Step 4: Therefore, the least common multiple of 842 and 850 is 357850.