Least Common Multiple of 830 and 836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 830 and 836 the smallest integer that is 346940 that is divisible by both numbers.

Least Common Multiple (LCM) of 830 and 836 is 346940.

LCM(830,836) = 346940

LCM of 830 and 836

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

LCM of:
and

Least Common Multiple of 830 and 836

LCM of 830 and 836 is 346940

Least common multiple can be found by multiplying the highest exponent prime factors of 830 and 836. First we will calculate the prime factors of 830 and 836.

Prime Factorization of 830


2 830
5 415
83 83
1

Prime factors of 830 are 2, 5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

Prime Factorization of 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2, 11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 830 and 836.

LCM(830,836) = 22×51×111×191×831
LCM(830,836) = 346940

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Least Common Multiple of 830 and 836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 830 and 836, than apply into the LCM equation.

GCF(830,836) = 2
LCM(830,836) = ( 830 × 836) / 2
LCM(830,836) = 693880 / 2
LCM(830,836) = 346940

Properties of LCM 830 and 836

(i) The LCM of 836 and 830 is associative

LCM of 830 and 836 = LCM of 836 and 830

Related Least Common Multiples of 830

Related Least Common Multiples of 836

Frequently Asked Questions on LCM of 830 and 836

1. What is the LCM of 830 and 836?

Answer: LCM of 830 and 836 is 346940.

2. What are the Factors of 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

3. What are the Factors of 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

4. How to Find the LCM of 830 and 836?

Answer:

Least Common Multiple of 830 and 836 = 346940

Step 1: Find the prime factorization of 830

830 = 2 x 5 x 83

Step 2: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

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

LCM = 346940 = 2 x 2 x 5 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 830 and 836 is 346940.