Least Common Multiple of 1865 and 1866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1865 and 1866 the smallest integer that is 3480090 that is divisible by both numbers.

Least Common Multiple (LCM) of 1865 and 1866 is 3480090.

LCM(1865,1866) = 3480090

LCM of 1865 and 1866

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

LCM of:
and

Least Common Multiple of 1865 and 1866

LCM of 1865 and 1866 is 3480090

Least common multiple can be found by multiplying the highest exponent prime factors of 1865 and 1866. First we will calculate the prime factors of 1865 and 1866.

Prime Factorization of 1865


5 1865
373 373
1

Prime factors of 1865 are 5,373. Prime factorization of 1865 in exponential form is:

1865 = 51×3731

Prime Factorization of 1866


2 1866
3 933
311 311
1

Prime factors of 1866 are 2, 3,311. Prime factorization of 1866 in exponential form is:

1866 = 21×31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 1865 and 1866.

LCM(1865,1866) = 21×31×51×3111×3731
LCM(1865,1866) = 3480090

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1, 5, 373, 1865

Factors of 1866

List of positive integer factors of 1866 that divides 1866 without a remainder.

1, 2, 3, 6, 311, 622, 933, 1866

Least Common Multiple of 1865 and 1866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1865 and 1866, than apply into the LCM equation.

GCF(1865,1866) = 1
LCM(1865,1866) = ( 1865 × 1866) / 1
LCM(1865,1866) = 3480090 / 1
LCM(1865,1866) = 3480090

Properties of LCM 1865 and 1866

(i) The LCM of 1866 and 1865 is associative

LCM of 1865 and 1866 = LCM of 1866 and 1865

Related Least Common Multiples of 1865

Related Least Common Multiples of 1866

Frequently Asked Questions on LCM of 1865 and 1866

1. What is the LCM of 1865 and 1866?

Answer: LCM of 1865 and 1866 is 3480090.

2. What are the Factors of 1865?

Answer: Factors of 1865 are 1, 5, 373, 1865. There are 4 integers that are factors of 1865. The greatest factor of 1865 is 1865.

3. What are the Factors of 1866?

Answer: Factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866. There are 8 integers that are factors of 1866. The greatest factor of 1866 is 1866.

4. How to Find the LCM of 1865 and 1866?

Answer:

Least Common Multiple of 1865 and 1866 = 3480090

Step 1: Find the prime factorization of 1865

1865 = 5 x 373

Step 2: Find the prime factorization of 1866

1866 = 2 x 3 x 311

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

LCM = 3480090 = 2 x 3 x 5 x 311 x 373

Step 4: Therefore, the least common multiple of 1865 and 1866 is 3480090.