Least Common Multiple of 827 and 834

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 834 the smallest integer that is 689718 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 834 is 689718.

LCM(827,834) = 689718

LCM of 827 and 834

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

LCM of:
and

Least Common Multiple of 827 and 834

LCM of 827 and 834 is 689718

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 834. First we will calculate the prime factors of 827 and 834.

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 834


2 834
3 417
139 139
1

Prime factors of 834 are 2, 3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 827 and 834.

LCM(827,834) = 21×31×1391×8271
LCM(827,834) = 689718

Factors of 827

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

1, 827

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Least Common Multiple of 827 and 834 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 834, than apply into the LCM equation.

GCF(827,834) = 1
LCM(827,834) = ( 827 × 834) / 1
LCM(827,834) = 689718 / 1
LCM(827,834) = 689718

Properties of LCM 827 and 834

(i) The LCM of 834 and 827 is associative

LCM of 827 and 834 = LCM of 834 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 834

Frequently Asked Questions on LCM of 827 and 834

1. What is the LCM of 827 and 834?

Answer: LCM of 827 and 834 is 689718.

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 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

4. How to Find the LCM of 827 and 834?

Answer:

Least Common Multiple of 827 and 834 = 689718

Step 1: Find the prime factorization of 827

827 = 827

Step 2: Find the prime factorization of 834

834 = 2 x 3 x 139

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

LCM = 689718 = 2 x 3 x 139 x 827

Step 4: Therefore, the least common multiple of 827 and 834 is 689718.