Least Common Multiple of 841 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 841 and 848 the smallest integer that is 713168 that is divisible by both numbers.

Least Common Multiple (LCM) of 841 and 848 is 713168.

LCM(841,848) = 713168

LCM of 841 and 848

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

LCM of:
and

Least Common Multiple of 841 and 848

LCM of 841 and 848 is 713168

Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 848. First we will calculate the prime factors of 841 and 848.

Prime Factorization of 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

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 841 and 848.

LCM(841,848) = 24×292×531
LCM(841,848) = 713168

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

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 841 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 841 and 848, than apply into the LCM equation.

GCF(841,848) = 1
LCM(841,848) = ( 841 × 848) / 1
LCM(841,848) = 713168 / 1
LCM(841,848) = 713168

Properties of LCM 841 and 848

(i) The LCM of 848 and 841 is associative

LCM of 841 and 848 = LCM of 848 and 841

Related Least Common Multiples of 841

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 841 and 848

1. What is the LCM of 841 and 848?

Answer: LCM of 841 and 848 is 713168.

2. What are the Factors of 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

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 841 and 848?

Answer:

Least Common Multiple of 841 and 848 = 713168

Step 1: Find the prime factorization of 841

841 = 29 x 29

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 = 713168 = 2 x 2 x 2 x 2 x 29 x 29 x 53

Step 4: Therefore, the least common multiple of 841 and 848 is 713168.