Least Common Multiple of 1866 and 1874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1866 and 1874 the smallest integer that is 1748442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1866 and 1874 is 1748442.

LCM(1866,1874) = 1748442

LCM of 1866 and 1874

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

LCM of:
and

Least Common Multiple of 1866 and 1874

LCM of 1866 and 1874 is 1748442

Least common multiple can be found by multiplying the highest exponent prime factors of 1866 and 1874. First we will calculate the prime factors of 1866 and 1874.

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

Prime Factorization of 1874


2 1874
937 937
1

Prime factors of 1874 are 2,937. Prime factorization of 1874 in exponential form is:

1874 = 21×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 1866 and 1874.

LCM(1866,1874) = 21×31×3111×9371
LCM(1866,1874) = 1748442

Factors of 1866

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

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

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1, 2, 937, 1874

Least Common Multiple of 1866 and 1874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1866 and 1874, than apply into the LCM equation.

GCF(1866,1874) = 2
LCM(1866,1874) = ( 1866 × 1874) / 2
LCM(1866,1874) = 3496884 / 2
LCM(1866,1874) = 1748442

Properties of LCM 1866 and 1874

(i) The LCM of 1874 and 1866 is associative

LCM of 1866 and 1874 = LCM of 1874 and 1866

Related Least Common Multiples of 1866

Related Least Common Multiples of 1874

Frequently Asked Questions on LCM of 1866 and 1874

1. What is the LCM of 1866 and 1874?

Answer: LCM of 1866 and 1874 is 1748442.

2. 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.

3. What are the Factors of 1874?

Answer: Factors of 1874 are 1, 2, 937, 1874. There are 4 integers that are factors of 1874. The greatest factor of 1874 is 1874.

4. How to Find the LCM of 1866 and 1874?

Answer:

Least Common Multiple of 1866 and 1874 = 1748442

Step 1: Find the prime factorization of 1866

1866 = 2 x 3 x 311

Step 2: Find the prime factorization of 1874

1874 = 2 x 937

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

LCM = 1748442 = 2 x 3 x 311 x 937

Step 4: Therefore, the least common multiple of 1866 and 1874 is 1748442.