Least Common Multiple of 1808 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 1808 and 1813 the smallest integer that is 3277904 that is divisible by both numbers.

Least Common Multiple (LCM) of 1808 and 1813 is 3277904.

LCM(1808,1813) = 3277904

LCM of 1808 and 1813

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

LCM of:
and

Least Common Multiple of 1808 and 1813

LCM of 1808 and 1813 is 3277904

Least common multiple can be found by multiplying the highest exponent prime factors of 1808 and 1813. First we will calculate the prime factors of 1808 and 1813.

Prime Factorization of 1808


2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:

1808 = 24×1131

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 1808 and 1813.

LCM(1808,1813) = 24×72×371×1131
LCM(1808,1813) = 3277904

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1, 2, 4, 8, 16, 113, 226, 452, 904, 1808

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 1808 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 1808 and 1813, than apply into the LCM equation.

GCF(1808,1813) = 1
LCM(1808,1813) = ( 1808 × 1813) / 1
LCM(1808,1813) = 3277904 / 1
LCM(1808,1813) = 3277904

Properties of LCM 1808 and 1813

(i) The LCM of 1813 and 1808 is associative

LCM of 1808 and 1813 = LCM of 1813 and 1808

Related Least Common Multiples of 1808

Related Least Common Multiples of 1813

Frequently Asked Questions on LCM of 1808 and 1813

1. What is the LCM of 1808 and 1813?

Answer: LCM of 1808 and 1813 is 3277904.

2. What are the Factors of 1808?

Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.

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 1808 and 1813?

Answer:

Least Common Multiple of 1808 and 1813 = 3277904

Step 1: Find the prime factorization of 1808

1808 = 2 x 2 x 2 x 2 x 113

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 = 3277904 = 2 x 2 x 2 x 2 x 7 x 7 x 37 x 113

Step 4: Therefore, the least common multiple of 1808 and 1813 is 3277904.