Least Common Multiple of 1868 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 1868 and 1874 the smallest integer that is 1750316 that is divisible by both numbers.

Least Common Multiple (LCM) of 1868 and 1874 is 1750316.

LCM(1868,1874) = 1750316

LCM of 1868 and 1874

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

LCM of:
and

Least Common Multiple of 1868 and 1874

LCM of 1868 and 1874 is 1750316

Least common multiple can be found by multiplying the highest exponent prime factors of 1868 and 1874. First we will calculate the prime factors of 1868 and 1874.

Prime Factorization of 1868


2 1868
2 934
467 467
1

Prime factors of 1868 are 2,467. Prime factorization of 1868 in exponential form is:

1868 = 22×4671

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 1868 and 1874.

LCM(1868,1874) = 22×4671×9371
LCM(1868,1874) = 1750316

Factors of 1868

List of positive integer factors of 1868 that divides 1868 without a remainder.

1, 2, 4, 467, 934, 1868

Factors of 1874

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

1, 2, 937, 1874

Least Common Multiple of 1868 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 1868 and 1874, than apply into the LCM equation.

GCF(1868,1874) = 2
LCM(1868,1874) = ( 1868 × 1874) / 2
LCM(1868,1874) = 3500632 / 2
LCM(1868,1874) = 1750316

Properties of LCM 1868 and 1874

(i) The LCM of 1874 and 1868 is associative

LCM of 1868 and 1874 = LCM of 1874 and 1868

Related Least Common Multiples of 1868

Related Least Common Multiples of 1874

Frequently Asked Questions on LCM of 1868 and 1874

1. What is the LCM of 1868 and 1874?

Answer: LCM of 1868 and 1874 is 1750316.

2. What are the Factors of 1868?

Answer: Factors of 1868 are 1, 2, 4, 467, 934, 1868. There are 6 integers that are factors of 1868. The greatest factor of 1868 is 1868.

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 1868 and 1874?

Answer:

Least Common Multiple of 1868 and 1874 = 1750316

Step 1: Find the prime factorization of 1868

1868 = 2 x 2 x 467

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 = 1750316 = 2 x 2 x 467 x 937

Step 4: Therefore, the least common multiple of 1868 and 1874 is 1750316.