Least Common Multiple of 1868 and 1873

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 1873 the smallest integer that is 3498764 that is divisible by both numbers.

Least Common Multiple (LCM) of 1868 and 1873 is 3498764.

LCM(1868,1873) = 3498764

LCM of 1868 and 1873

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

LCM of:
and

Least Common Multiple of 1868 and 1873

LCM of 1868 and 1873 is 3498764

Least common multiple can be found by multiplying the highest exponent prime factors of 1868 and 1873. First we will calculate the prime factors of 1868 and 1873.

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 1873


1873 1873
1

Prime factors of 1873 are 1873. Prime factorization of 1873 in exponential form is:

1873 = 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 1868 and 1873.

LCM(1868,1873) = 22×4671×18731
LCM(1868,1873) = 3498764

Factors of 1868

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

1, 2, 4, 467, 934, 1868

Factors of 1873

List of positive integer factors of 1873 that divides 1873 without a remainder.

1, 1873

Least Common Multiple of 1868 and 1873 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 1873, than apply into the LCM equation.

GCF(1868,1873) = 1
LCM(1868,1873) = ( 1868 × 1873) / 1
LCM(1868,1873) = 3498764 / 1
LCM(1868,1873) = 3498764

Properties of LCM 1868 and 1873

(i) The LCM of 1873 and 1868 is associative

LCM of 1868 and 1873 = LCM of 1873 and 1868

Related Least Common Multiples of 1868

Related Least Common Multiples of 1873

Frequently Asked Questions on LCM of 1868 and 1873

1. What is the LCM of 1868 and 1873?

Answer: LCM of 1868 and 1873 is 3498764.

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 1873?

Answer: Factors of 1873 are 1, 1873. There are 2 integers that are factors of 1873. The greatest factor of 1873 is 1873.

4. How to Find the LCM of 1868 and 1873?

Answer:

Least Common Multiple of 1868 and 1873 = 3498764

Step 1: Find the prime factorization of 1868

1868 = 2 x 2 x 467

Step 2: Find the prime factorization of 1873

1873 = 1873

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

LCM = 3498764 = 2 x 2 x 467 x 1873

Step 4: Therefore, the least common multiple of 1868 and 1873 is 3498764.