Least Common Multiple of 1867 and 1875

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 1875 the smallest integer that is 3500625 that is divisible by both numbers.

Least Common Multiple (LCM) of 1867 and 1875 is 3500625.

LCM(1867,1875) = 3500625

LCM of 1867 and 1875

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

LCM of:
and

Least Common Multiple of 1867 and 1875

LCM of 1867 and 1875 is 3500625

Least common multiple can be found by multiplying the highest exponent prime factors of 1867 and 1875. First we will calculate the prime factors of 1867 and 1875.

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 1875


3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 1875 are 3,5. Prime factorization of 1875 in exponential form is:

1875 = 31×54

Now multiplying the highest exponent prime factors to calculate the LCM of 1867 and 1875.

LCM(1867,1875) = 31×54×18671
LCM(1867,1875) = 3500625

Factors of 1867

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

1, 1867

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875

Least Common Multiple of 1867 and 1875 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 1875, than apply into the LCM equation.

GCF(1867,1875) = 1
LCM(1867,1875) = ( 1867 × 1875) / 1
LCM(1867,1875) = 3500625 / 1
LCM(1867,1875) = 3500625

Properties of LCM 1867 and 1875

(i) The LCM of 1875 and 1867 is associative

LCM of 1867 and 1875 = LCM of 1875 and 1867

Related Least Common Multiples of 1867

Related Least Common Multiples of 1875

Frequently Asked Questions on LCM of 1867 and 1875

1. What is the LCM of 1867 and 1875?

Answer: LCM of 1867 and 1875 is 3500625.

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 1875?

Answer: Factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875. There are 10 integers that are factors of 1875. The greatest factor of 1875 is 1875.

4. How to Find the LCM of 1867 and 1875?

Answer:

Least Common Multiple of 1867 and 1875 = 3500625

Step 1: Find the prime factorization of 1867

1867 = 1867

Step 2: Find the prime factorization of 1875

1875 = 3 x 5 x 5 x 5 x 5

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

LCM = 3500625 = 3 x 5 x 5 x 5 x 5 x 1867

Step 4: Therefore, the least common multiple of 1867 and 1875 is 3500625.