Least Common Multiple of 1807 and 1813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1807 and 1813 the smallest integer that is 3276091 that is divisible by both numbers.

Least Common Multiple (LCM) of 1807 and 1813 is 3276091.

LCM(1807,1813) = 3276091

LCM of 1807 and 1813

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

LCM of:
and

Least Common Multiple of 1807 and 1813

LCM of 1807 and 1813 is 3276091

Least common multiple can be found by multiplying the highest exponent prime factors of 1807 and 1813. First we will calculate the prime factors of 1807 and 1813.

Prime Factorization of 1807


13 1807
139 139
1

Prime factors of 1807 are 13,139. Prime factorization of 1807 in exponential form is:

1807 = 131×1391

Prime Factorization of 1813


7 1813
7 259
37 37
1

Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:

1813 = 72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1807 and 1813.

LCM(1807,1813) = 72×131×371×1391
LCM(1807,1813) = 3276091

Factors of 1807

List of positive integer factors of 1807 that divides 1807 without a remainder.

1, 13, 139, 1807

Factors of 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1, 7, 37, 49, 259, 1813

Least Common Multiple of 1807 and 1813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1807 and 1813, than apply into the LCM equation.

GCF(1807,1813) = 1
LCM(1807,1813) = ( 1807 × 1813) / 1
LCM(1807,1813) = 3276091 / 1
LCM(1807,1813) = 3276091

Properties of LCM 1807 and 1813

(i) The LCM of 1813 and 1807 is associative

LCM of 1807 and 1813 = LCM of 1813 and 1807

Related Least Common Multiples of 1807

Related Least Common Multiples of 1813

Frequently Asked Questions on LCM of 1807 and 1813

1. What is the LCM of 1807 and 1813?

Answer: LCM of 1807 and 1813 is 3276091.

2. What are the Factors of 1807?

Answer: Factors of 1807 are 1, 13, 139, 1807. There are 4 integers that are factors of 1807. The greatest factor of 1807 is 1807.

3. What are the Factors of 1813?

Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.

4. How to Find the LCM of 1807 and 1813?

Answer:

Least Common Multiple of 1807 and 1813 = 3276091

Step 1: Find the prime factorization of 1807

1807 = 13 x 139

Step 2: Find the prime factorization of 1813

1813 = 7 x 7 x 37

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

LCM = 3276091 = 7 x 7 x 13 x 37 x 139

Step 4: Therefore, the least common multiple of 1807 and 1813 is 3276091.