Least Common Multiple of 1867 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 1867 and 1873 the smallest integer that is 3496891 that is divisible by both numbers.

Least Common Multiple (LCM) of 1867 and 1873 is 3496891.

LCM(1867,1873) = 3496891

LCM of 1867 and 1873

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

LCM of:
and

Least Common Multiple of 1867 and 1873

LCM of 1867 and 1873 is 3496891

Least common multiple can be found by multiplying the highest exponent prime factors of 1867 and 1873. First we will calculate the prime factors of 1867 and 1873.

Prime Factorization of 1867


1867 1867
1

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

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 1867 and 1873.

LCM(1867,1873) = 18671×18731
LCM(1867,1873) = 3496891

Factors of 1867

List of positive integer factors of 1867 that divides 1867 without a remainder.

1, 1867

Factors of 1873

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

1, 1873

Least Common Multiple of 1867 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 1867 and 1873, than apply into the LCM equation.

GCF(1867,1873) = 1
LCM(1867,1873) = ( 1867 × 1873) / 1
LCM(1867,1873) = 3496891 / 1
LCM(1867,1873) = 3496891

Properties of LCM 1867 and 1873

(i) The LCM of 1873 and 1867 is associative

LCM of 1867 and 1873 = LCM of 1873 and 1867

Related Least Common Multiples of 1867

Related Least Common Multiples of 1873

Frequently Asked Questions on LCM of 1867 and 1873

1. What is the LCM of 1867 and 1873?

Answer: LCM of 1867 and 1873 is 3496891.

2. What are the Factors of 1867?

Answer: Factors of 1867 are 1, 1867. There are 2 integers that are factors of 1867. The greatest factor of 1867 is 1867.

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 1867 and 1873?

Answer:

Least Common Multiple of 1867 and 1873 = 3496891

Step 1: Find the prime factorization of 1867

1867 = 1867

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 = 3496891 = 1867 x 1873

Step 4: Therefore, the least common multiple of 1867 and 1873 is 3496891.