Least Common Multiple of 838 and 841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 838 and 841 the smallest integer that is 704758 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 841 is 704758.

LCM(838,841) = 704758

LCM of 838 and 841

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

LCM of:
and

Least Common Multiple of 838 and 841

LCM of 838 and 841 is 704758

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 841. First we will calculate the prime factors of 838 and 841.

Prime Factorization of 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 841.

LCM(838,841) = 21×292×4191
LCM(838,841) = 704758

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Factors of 841

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

1, 29, 841

Least Common Multiple of 838 and 841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 838 and 841, than apply into the LCM equation.

GCF(838,841) = 1
LCM(838,841) = ( 838 × 841) / 1
LCM(838,841) = 704758 / 1
LCM(838,841) = 704758

Properties of LCM 838 and 841

(i) The LCM of 841 and 838 is associative

LCM of 838 and 841 = LCM of 841 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 841

Frequently Asked Questions on LCM of 838 and 841

1. What is the LCM of 838 and 841?

Answer: LCM of 838 and 841 is 704758.

2. What are the Factors of 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

3. 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.

4. How to Find the LCM of 838 and 841?

Answer:

Least Common Multiple of 838 and 841 = 704758

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 841

841 = 29 x 29

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

LCM = 704758 = 2 x 29 x 29 x 419

Step 4: Therefore, the least common multiple of 838 and 841 is 704758.