Least Common Multiple of 827 and 835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 827 and 835 the smallest integer that is 690545 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 835 is 690545.

LCM(827,835) = 690545

LCM of 827 and 835

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

LCM of:
and

Least Common Multiple of 827 and 835

LCM of 827 and 835 is 690545

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 835. First we will calculate the prime factors of 827 and 835.

Prime Factorization of 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 827 and 835.

LCM(827,835) = 51×1671×8271
LCM(827,835) = 690545

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1, 827

Factors of 835

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

1, 5, 167, 835

Least Common Multiple of 827 and 835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 827 and 835, than apply into the LCM equation.

GCF(827,835) = 1
LCM(827,835) = ( 827 × 835) / 1
LCM(827,835) = 690545 / 1
LCM(827,835) = 690545

Properties of LCM 827 and 835

(i) The LCM of 835 and 827 is associative

LCM of 827 and 835 = LCM of 835 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 835

Frequently Asked Questions on LCM of 827 and 835

1. What is the LCM of 827 and 835?

Answer: LCM of 827 and 835 is 690545.

2. What are the Factors of 827?

Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.

3. 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.

4. How to Find the LCM of 827 and 835?

Answer:

Least Common Multiple of 827 and 835 = 690545

Step 1: Find the prime factorization of 827

827 = 827

Step 2: Find the prime factorization of 835

835 = 5 x 167

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

LCM = 690545 = 5 x 167 x 827

Step 4: Therefore, the least common multiple of 827 and 835 is 690545.