Least Common Multiple of 842 and 848

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 848 the smallest integer that is 357008 that is divisible by both numbers.

Least Common Multiple (LCM) of 842 and 848 is 357008.

LCM(842,848) = 357008

LCM of 842 and 848

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

LCM of:
and

Least Common Multiple of 842 and 848

LCM of 842 and 848 is 357008

Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 848. First we will calculate the prime factors of 842 and 848.

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 848


2 848
2 424
2 212
2 106
53 53
1

Prime factors of 848 are 2,53. Prime factorization of 848 in exponential form is:

848 = 24×531

Now multiplying the highest exponent prime factors to calculate the LCM of 842 and 848.

LCM(842,848) = 24×531×4211
LCM(842,848) = 357008

Factors of 842

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

1, 2, 421, 842

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Least Common Multiple of 842 and 848 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 848, than apply into the LCM equation.

GCF(842,848) = 2
LCM(842,848) = ( 842 × 848) / 2
LCM(842,848) = 714016 / 2
LCM(842,848) = 357008

Properties of LCM 842 and 848

(i) The LCM of 848 and 842 is associative

LCM of 842 and 848 = LCM of 848 and 842

Related Least Common Multiples of 842

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 842 and 848

1. What is the LCM of 842 and 848?

Answer: LCM of 842 and 848 is 357008.

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 848?

Answer: Factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. There are 10 integers that are factors of 848. The greatest factor of 848 is 848.

4. How to Find the LCM of 842 and 848?

Answer:

Least Common Multiple of 842 and 848 = 357008

Step 1: Find the prime factorization of 842

842 = 2 x 421

Step 2: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

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

LCM = 357008 = 2 x 2 x 2 x 2 x 53 x 421

Step 4: Therefore, the least common multiple of 842 and 848 is 357008.