Least Common Multiple of 1812 and 1815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1812 and 1815 the smallest integer that is 1096260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1815 is 1096260.

LCM(1812,1815) = 1096260

LCM of 1812 and 1815

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

LCM of:
and

Least Common Multiple of 1812 and 1815

LCM of 1812 and 1815 is 1096260

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1815. First we will calculate the prime factors of 1812 and 1815.

Prime Factorization of 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2, 3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

Prime Factorization of 1815


3 1815
5 605
11 121
11 11
1

Prime factors of 1815 are 3, 5,11. Prime factorization of 1815 in exponential form is:

1815 = 31×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1815.

LCM(1812,1815) = 22×31×51×112×1511
LCM(1812,1815) = 1096260

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815

Least Common Multiple of 1812 and 1815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1812 and 1815, than apply into the LCM equation.

GCF(1812,1815) = 3
LCM(1812,1815) = ( 1812 × 1815) / 3
LCM(1812,1815) = 3288780 / 3
LCM(1812,1815) = 1096260

Properties of LCM 1812 and 1815

(i) The LCM of 1815 and 1812 is associative

LCM of 1812 and 1815 = LCM of 1815 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1815

Frequently Asked Questions on LCM of 1812 and 1815

1. What is the LCM of 1812 and 1815?

Answer: LCM of 1812 and 1815 is 1096260.

2. What are the Factors of 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

3. What are the Factors of 1815?

Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.

4. How to Find the LCM of 1812 and 1815?

Answer:

Least Common Multiple of 1812 and 1815 = 1096260

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

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

LCM = 1096260 = 2 x 2 x 3 x 5 x 11 x 11 x 151

Step 4: Therefore, the least common multiple of 1812 and 1815 is 1096260.