Least Common Multiple of 1872 and 1878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1872 and 1878 the smallest integer that is 585936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1872 and 1878 is 585936.

LCM(1872,1878) = 585936

LCM of 1872 and 1878

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

LCM of:
and

Least Common Multiple of 1872 and 1878

LCM of 1872 and 1878 is 585936

Least common multiple can be found by multiplying the highest exponent prime factors of 1872 and 1878. First we will calculate the prime factors of 1872 and 1878.

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

Prime Factorization of 1878


2 1878
3 939
313 313
1

Prime factors of 1878 are 2, 3,313. Prime factorization of 1878 in exponential form is:

1878 = 21×31×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1872 and 1878.

LCM(1872,1878) = 24×32×131×3131
LCM(1872,1878) = 585936

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

Factors of 1878

List of positive integer factors of 1878 that divides 1878 without a remainder.

1, 2, 3, 6, 313, 626, 939, 1878

Least Common Multiple of 1872 and 1878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1872 and 1878, than apply into the LCM equation.

GCF(1872,1878) = 6
LCM(1872,1878) = ( 1872 × 1878) / 6
LCM(1872,1878) = 3515616 / 6
LCM(1872,1878) = 585936

Properties of LCM 1872 and 1878

(i) The LCM of 1878 and 1872 is associative

LCM of 1872 and 1878 = LCM of 1878 and 1872

Related Least Common Multiples of 1872

Related Least Common Multiples of 1878

Frequently Asked Questions on LCM of 1872 and 1878

1. What is the LCM of 1872 and 1878?

Answer: LCM of 1872 and 1878 is 585936.

2. 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.

3. What are the Factors of 1878?

Answer: Factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878. There are 8 integers that are factors of 1878. The greatest factor of 1878 is 1878.

4. How to Find the LCM of 1872 and 1878?

Answer:

Least Common Multiple of 1872 and 1878 = 585936

Step 1: Find the prime factorization of 1872

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

Step 2: Find the prime factorization of 1878

1878 = 2 x 3 x 313

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

LCM = 585936 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 313

Step 4: Therefore, the least common multiple of 1872 and 1878 is 585936.