Least Common Multiple of 835 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 835 and 841 the smallest integer that is 702235 that is divisible by both numbers.

Least Common Multiple (LCM) of 835 and 841 is 702235.

LCM(835,841) = 702235

LCM of 835 and 841

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

LCM of:
and

Least Common Multiple of 835 and 841

LCM of 835 and 841 is 702235

Least common multiple can be found by multiplying the highest exponent prime factors of 835 and 841. First we will calculate the prime factors of 835 and 841.

Prime Factorization of 835


5 835
167 167
1

Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:

835 = 51×1671

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 835 and 841.

LCM(835,841) = 51×292×1671
LCM(835,841) = 702235

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Factors of 841

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

1, 29, 841

Least Common Multiple of 835 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 835 and 841, than apply into the LCM equation.

GCF(835,841) = 1
LCM(835,841) = ( 835 × 841) / 1
LCM(835,841) = 702235 / 1
LCM(835,841) = 702235

Properties of LCM 835 and 841

(i) The LCM of 841 and 835 is associative

LCM of 835 and 841 = LCM of 841 and 835

Related Least Common Multiples of 835

Related Least Common Multiples of 841

Frequently Asked Questions on LCM of 835 and 841

1. What is the LCM of 835 and 841?

Answer: LCM of 835 and 841 is 702235.

2. What are the Factors of 835?

Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.

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 835 and 841?

Answer:

Least Common Multiple of 835 and 841 = 702235

Step 1: Find the prime factorization of 835

835 = 5 x 167

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 = 702235 = 5 x 29 x 29 x 167

Step 4: Therefore, the least common multiple of 835 and 841 is 702235.