Least Common Multiple of 1807 and 1810

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 1810 the smallest integer that is 3270670 that is divisible by both numbers.

Least Common Multiple (LCM) of 1807 and 1810 is 3270670.

LCM(1807,1810) = 3270670

LCM of 1807 and 1810

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

LCM of:
and

Least Common Multiple of 1807 and 1810

LCM of 1807 and 1810 is 3270670

Least common multiple can be found by multiplying the highest exponent prime factors of 1807 and 1810. First we will calculate the prime factors of 1807 and 1810.

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 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1807 and 1810.

LCM(1807,1810) = 21×51×131×1391×1811
LCM(1807,1810) = 3270670

Factors of 1807

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

1, 13, 139, 1807

Factors of 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1, 2, 5, 10, 181, 362, 905, 1810

Least Common Multiple of 1807 and 1810 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 1810, than apply into the LCM equation.

GCF(1807,1810) = 1
LCM(1807,1810) = ( 1807 × 1810) / 1
LCM(1807,1810) = 3270670 / 1
LCM(1807,1810) = 3270670

Properties of LCM 1807 and 1810

(i) The LCM of 1810 and 1807 is associative

LCM of 1807 and 1810 = LCM of 1810 and 1807

Related Least Common Multiples of 1807

Related Least Common Multiples of 1810

Frequently Asked Questions on LCM of 1807 and 1810

1. What is the LCM of 1807 and 1810?

Answer: LCM of 1807 and 1810 is 3270670.

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 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

4. How to Find the LCM of 1807 and 1810?

Answer:

Least Common Multiple of 1807 and 1810 = 3270670

Step 1: Find the prime factorization of 1807

1807 = 13 x 139

Step 2: Find the prime factorization of 1810

1810 = 2 x 5 x 181

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

LCM = 3270670 = 2 x 5 x 13 x 139 x 181

Step 4: Therefore, the least common multiple of 1807 and 1810 is 3270670.