Least Common Multiple of 1804 and 1807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1804 and 1807 the smallest integer that is 3259828 that is divisible by both numbers.

Least Common Multiple (LCM) of 1804 and 1807 is 3259828.

LCM(1804,1807) = 3259828

LCM of 1804 and 1807

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

LCM of:
and

Least Common Multiple of 1804 and 1807

LCM of 1804 and 1807 is 3259828

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1807. First we will calculate the prime factors of 1804 and 1807.

Prime Factorization of 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1807.

LCM(1804,1807) = 22×111×131×411×1391
LCM(1804,1807) = 3259828

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

Factors of 1807

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

1, 13, 139, 1807

Least Common Multiple of 1804 and 1807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1804 and 1807, than apply into the LCM equation.

GCF(1804,1807) = 1
LCM(1804,1807) = ( 1804 × 1807) / 1
LCM(1804,1807) = 3259828 / 1
LCM(1804,1807) = 3259828

Properties of LCM 1804 and 1807

(i) The LCM of 1807 and 1804 is associative

LCM of 1804 and 1807 = LCM of 1807 and 1804

Related Least Common Multiples of 1804

Related Least Common Multiples of 1807

Frequently Asked Questions on LCM of 1804 and 1807

1. What is the LCM of 1804 and 1807?

Answer: LCM of 1804 and 1807 is 3259828.

2. What are the Factors of 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

3. 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.

4. How to Find the LCM of 1804 and 1807?

Answer:

Least Common Multiple of 1804 and 1807 = 3259828

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1807

1807 = 13 x 139

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

LCM = 3259828 = 2 x 2 x 11 x 13 x 41 x 139

Step 4: Therefore, the least common multiple of 1804 and 1807 is 3259828.