Least Common Multiple of 1858 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 1858 and 1866 the smallest integer that is 1733514 that is divisible by both numbers.

Least Common Multiple (LCM) of 1858 and 1866 is 1733514.

LCM(1858,1866) = 1733514

LCM of 1858 and 1866

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

LCM of:
and

Least Common Multiple of 1858 and 1866

LCM of 1858 and 1866 is 1733514

Least common multiple can be found by multiplying the highest exponent prime factors of 1858 and 1866. First we will calculate the prime factors of 1858 and 1866.

Prime Factorization of 1858


2 1858
929 929
1

Prime factors of 1858 are 2,929. Prime factorization of 1858 in exponential form is:

1858 = 21×9291

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 1858 and 1866.

LCM(1858,1866) = 21×31×3111×9291
LCM(1858,1866) = 1733514

Factors of 1858

List of positive integer factors of 1858 that divides 1858 without a remainder.

1, 2, 929, 1858

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 1858 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 1858 and 1866, than apply into the LCM equation.

GCF(1858,1866) = 2
LCM(1858,1866) = ( 1858 × 1866) / 2
LCM(1858,1866) = 3467028 / 2
LCM(1858,1866) = 1733514

Properties of LCM 1858 and 1866

(i) The LCM of 1866 and 1858 is associative

LCM of 1858 and 1866 = LCM of 1866 and 1858

Related Least Common Multiples of 1858

Related Least Common Multiples of 1866

Frequently Asked Questions on LCM of 1858 and 1866

1. What is the LCM of 1858 and 1866?

Answer: LCM of 1858 and 1866 is 1733514.

2. What are the Factors of 1858?

Answer: Factors of 1858 are 1, 2, 929, 1858. There are 4 integers that are factors of 1858. The greatest factor of 1858 is 1858.

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 1858 and 1866?

Answer:

Least Common Multiple of 1858 and 1866 = 1733514

Step 1: Find the prime factorization of 1858

1858 = 2 x 929

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 = 1733514 = 2 x 3 x 311 x 929

Step 4: Therefore, the least common multiple of 1858 and 1866 is 1733514.