Least Common Multiple of 830 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 830 and 837 the smallest integer that is 694710 that is divisible by both numbers.

Least Common Multiple (LCM) of 830 and 837 is 694710.

LCM(830,837) = 694710

LCM of 830 and 837

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

LCM of:
and

Least Common Multiple of 830 and 837

LCM of 830 and 837 is 694710

Least common multiple can be found by multiplying the highest exponent prime factors of 830 and 837. First we will calculate the prime factors of 830 and 837.

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 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 830 and 837.

LCM(830,837) = 21×33×51×311×831
LCM(830,837) = 694710

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 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 830 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 830 and 837, than apply into the LCM equation.

GCF(830,837) = 1
LCM(830,837) = ( 830 × 837) / 1
LCM(830,837) = 694710 / 1
LCM(830,837) = 694710

Properties of LCM 830 and 837

(i) The LCM of 837 and 830 is associative

LCM of 830 and 837 = LCM of 837 and 830

Related Least Common Multiples of 830

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 830 and 837

1. What is the LCM of 830 and 837?

Answer: LCM of 830 and 837 is 694710.

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 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 830 and 837?

Answer:

Least Common Multiple of 830 and 837 = 694710

Step 1: Find the prime factorization of 830

830 = 2 x 5 x 83

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 = 694710 = 2 x 3 x 3 x 3 x 5 x 31 x 83

Step 4: Therefore, the least common multiple of 830 and 837 is 694710.