Least Common Multiple of 1845 and 1851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1845 and 1851 the smallest integer that is 1138365 that is divisible by both numbers.

Least Common Multiple (LCM) of 1845 and 1851 is 1138365.

LCM(1845,1851) = 1138365

LCM of 1845 and 1851

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

LCM of:
and

Least Common Multiple of 1845 and 1851

LCM of 1845 and 1851 is 1138365

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1851. First we will calculate the prime factors of 1845 and 1851.

Prime Factorization of 1845


3 1845
3 615
5 205
41 41
1

Prime factors of 1845 are 3, 5,41. Prime factorization of 1845 in exponential form is:

1845 = 32×51×411

Prime Factorization of 1851


3 1851
617 617
1

Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:

1851 = 31×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1851.

LCM(1845,1851) = 32×51×411×6171
LCM(1845,1851) = 1138365

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845

Factors of 1851

List of positive integer factors of 1851 that divides 1851 without a remainder.

1, 3, 617, 1851

Least Common Multiple of 1845 and 1851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1845 and 1851, than apply into the LCM equation.

GCF(1845,1851) = 3
LCM(1845,1851) = ( 1845 × 1851) / 3
LCM(1845,1851) = 3415095 / 3
LCM(1845,1851) = 1138365

Properties of LCM 1845 and 1851

(i) The LCM of 1851 and 1845 is associative

LCM of 1845 and 1851 = LCM of 1851 and 1845

Related Least Common Multiples of 1845

Related Least Common Multiples of 1851

Frequently Asked Questions on LCM of 1845 and 1851

1. What is the LCM of 1845 and 1851?

Answer: LCM of 1845 and 1851 is 1138365.

2. What are the Factors of 1845?

Answer: Factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845. There are 12 integers that are factors of 1845. The greatest factor of 1845 is 1845.

3. What are the Factors of 1851?

Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.

4. How to Find the LCM of 1845 and 1851?

Answer:

Least Common Multiple of 1845 and 1851 = 1138365

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1851

1851 = 3 x 617

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

LCM = 1138365 = 3 x 3 x 5 x 41 x 617

Step 4: Therefore, the least common multiple of 1845 and 1851 is 1138365.