Least Common Multiple of 1807 and 1808

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 1808 the smallest integer that is 3267056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1807 and 1808 is 3267056.

LCM(1807,1808) = 3267056

LCM of 1807 and 1808

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

LCM of:
and

Least Common Multiple of 1807 and 1808

LCM of 1807 and 1808 is 3267056

Least common multiple can be found by multiplying the highest exponent prime factors of 1807 and 1808. First we will calculate the prime factors of 1807 and 1808.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1807 and 1808.

LCM(1807,1808) = 24×131×1131×1391
LCM(1807,1808) = 3267056

Factors of 1807

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

1, 13, 139, 1807

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

Least Common Multiple of 1807 and 1808 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 1808, than apply into the LCM equation.

GCF(1807,1808) = 1
LCM(1807,1808) = ( 1807 × 1808) / 1
LCM(1807,1808) = 3267056 / 1
LCM(1807,1808) = 3267056

Properties of LCM 1807 and 1808

(i) The LCM of 1808 and 1807 is associative

LCM of 1807 and 1808 = LCM of 1808 and 1807

Related Least Common Multiples of 1807

Related Least Common Multiples of 1808

Frequently Asked Questions on LCM of 1807 and 1808

1. What is the LCM of 1807 and 1808?

Answer: LCM of 1807 and 1808 is 3267056.

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 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.

4. How to Find the LCM of 1807 and 1808?

Answer:

Least Common Multiple of 1807 and 1808 = 3267056

Step 1: Find the prime factorization of 1807

1807 = 13 x 139

Step 2: Find the prime factorization of 1808

1808 = 2 x 2 x 2 x 2 x 113

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

LCM = 3267056 = 2 x 2 x 2 x 2 x 13 x 113 x 139

Step 4: Therefore, the least common multiple of 1807 and 1808 is 3267056.