Least Common Multiple of 1826 and 1834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1826 and 1834 the smallest integer that is 1674442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1826 and 1834 is 1674442.

LCM(1826,1834) = 1674442

LCM of 1826 and 1834

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

LCM of:
and

Least Common Multiple of 1826 and 1834

LCM of 1826 and 1834 is 1674442

Least common multiple can be found by multiplying the highest exponent prime factors of 1826 and 1834. First we will calculate the prime factors of 1826 and 1834.

Prime Factorization of 1826


2 1826
11 913
83 83
1

Prime factors of 1826 are 2, 11,83. Prime factorization of 1826 in exponential form is:

1826 = 21×111×831

Prime Factorization of 1834


2 1834
7 917
131 131
1

Prime factors of 1834 are 2, 7,131. Prime factorization of 1834 in exponential form is:

1834 = 21×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1826 and 1834.

LCM(1826,1834) = 21×71×111×831×1311
LCM(1826,1834) = 1674442

Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1, 2, 11, 22, 83, 166, 913, 1826

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1, 2, 7, 14, 131, 262, 917, 1834

Least Common Multiple of 1826 and 1834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1826 and 1834, than apply into the LCM equation.

GCF(1826,1834) = 2
LCM(1826,1834) = ( 1826 × 1834) / 2
LCM(1826,1834) = 3348884 / 2
LCM(1826,1834) = 1674442

Properties of LCM 1826 and 1834

(i) The LCM of 1834 and 1826 is associative

LCM of 1826 and 1834 = LCM of 1834 and 1826

Related Least Common Multiples of 1826

Related Least Common Multiples of 1834

Frequently Asked Questions on LCM of 1826 and 1834

1. What is the LCM of 1826 and 1834?

Answer: LCM of 1826 and 1834 is 1674442.

2. What are the Factors of 1826?

Answer: Factors of 1826 are 1, 2, 11, 22, 83, 166, 913, 1826. There are 8 integers that are factors of 1826. The greatest factor of 1826 is 1826.

3. What are the Factors of 1834?

Answer: Factors of 1834 are 1, 2, 7, 14, 131, 262, 917, 1834. There are 8 integers that are factors of 1834. The greatest factor of 1834 is 1834.

4. How to Find the LCM of 1826 and 1834?

Answer:

Least Common Multiple of 1826 and 1834 = 1674442

Step 1: Find the prime factorization of 1826

1826 = 2 x 11 x 83

Step 2: Find the prime factorization of 1834

1834 = 2 x 7 x 131

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

LCM = 1674442 = 2 x 7 x 11 x 83 x 131

Step 4: Therefore, the least common multiple of 1826 and 1834 is 1674442.