Least Common Multiple of 1867 and 1872

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 1872 the smallest integer that is 3495024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1867 and 1872 is 3495024.

LCM(1867,1872) = 3495024

LCM of 1867 and 1872

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

LCM of:
and

Least Common Multiple of 1867 and 1872

LCM of 1867 and 1872 is 3495024

Least common multiple can be found by multiplying the highest exponent prime factors of 1867 and 1872. First we will calculate the prime factors of 1867 and 1872.

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 1872


2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 1872 are 2, 3,13. Prime factorization of 1872 in exponential form is:

1872 = 24×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1867 and 1872.

LCM(1867,1872) = 24×32×131×18671
LCM(1867,1872) = 3495024

Factors of 1867

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

1, 1867

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872

Least Common Multiple of 1867 and 1872 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 1872, than apply into the LCM equation.

GCF(1867,1872) = 1
LCM(1867,1872) = ( 1867 × 1872) / 1
LCM(1867,1872) = 3495024 / 1
LCM(1867,1872) = 3495024

Properties of LCM 1867 and 1872

(i) The LCM of 1872 and 1867 is associative

LCM of 1867 and 1872 = LCM of 1872 and 1867

Related Least Common Multiples of 1867

Related Least Common Multiples of 1872

Frequently Asked Questions on LCM of 1867 and 1872

1. What is the LCM of 1867 and 1872?

Answer: LCM of 1867 and 1872 is 3495024.

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 1872?

Answer: Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. There are 30 integers that are factors of 1872. The greatest factor of 1872 is 1872.

4. How to Find the LCM of 1867 and 1872?

Answer:

Least Common Multiple of 1867 and 1872 = 3495024

Step 1: Find the prime factorization of 1867

1867 = 1867

Step 2: Find the prime factorization of 1872

1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 3495024 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1867

Step 4: Therefore, the least common multiple of 1867 and 1872 is 3495024.