Least Common Multiple of 835 and 837

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 837 the smallest integer that is 698895 that is divisible by both numbers.

Least Common Multiple (LCM) of 835 and 837 is 698895.

LCM(835,837) = 698895

LCM of 835 and 837

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

LCM of:
and

Least Common Multiple of 835 and 837

LCM of 835 and 837 is 698895

Least common multiple can be found by multiplying the highest exponent prime factors of 835 and 837. First we will calculate the prime factors of 835 and 837.

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 837


3 837
3 279
3 93
31 31
1

Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:

837 = 33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 835 and 837.

LCM(835,837) = 33×51×311×1671
LCM(835,837) = 698895

Factors of 835

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

1, 5, 167, 835

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Least Common Multiple of 835 and 837 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 837, than apply into the LCM equation.

GCF(835,837) = 1
LCM(835,837) = ( 835 × 837) / 1
LCM(835,837) = 698895 / 1
LCM(835,837) = 698895

Properties of LCM 835 and 837

(i) The LCM of 837 and 835 is associative

LCM of 835 and 837 = LCM of 837 and 835

Related Least Common Multiples of 835

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 835 and 837

1. What is the LCM of 835 and 837?

Answer: LCM of 835 and 837 is 698895.

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 837?

Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.

4. How to Find the LCM of 835 and 837?

Answer:

Least Common Multiple of 835 and 837 = 698895

Step 1: Find the prime factorization of 835

835 = 5 x 167

Step 2: Find the prime factorization of 837

837 = 3 x 3 x 3 x 31

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

LCM = 698895 = 3 x 3 x 3 x 5 x 31 x 167

Step 4: Therefore, the least common multiple of 835 and 837 is 698895.