Least Common Multiple of 842 and 849

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 849 the smallest integer that is 714858 that is divisible by both numbers.

Least Common Multiple (LCM) of 842 and 849 is 714858.

LCM(842,849) = 714858

LCM of 842 and 849

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

LCM of:
and

Least Common Multiple of 842 and 849

LCM of 842 and 849 is 714858

Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 849. First we will calculate the prime factors of 842 and 849.

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 849


3 849
283 283
1

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

849 = 31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 842 and 849.

LCM(842,849) = 21×31×2831×4211
LCM(842,849) = 714858

Factors of 842

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

1, 2, 421, 842

Factors of 849

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

1, 3, 283, 849

Least Common Multiple of 842 and 849 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 849, than apply into the LCM equation.

GCF(842,849) = 1
LCM(842,849) = ( 842 × 849) / 1
LCM(842,849) = 714858 / 1
LCM(842,849) = 714858

Properties of LCM 842 and 849

(i) The LCM of 849 and 842 is associative

LCM of 842 and 849 = LCM of 849 and 842

Related Least Common Multiples of 842

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 842 and 849

1. What is the LCM of 842 and 849?

Answer: LCM of 842 and 849 is 714858.

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 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.

4. How to Find the LCM of 842 and 849?

Answer:

Least Common Multiple of 842 and 849 = 714858

Step 1: Find the prime factorization of 842

842 = 2 x 421

Step 2: Find the prime factorization of 849

849 = 3 x 283

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

LCM = 714858 = 2 x 3 x 283 x 421

Step 4: Therefore, the least common multiple of 842 and 849 is 714858.