Least Common Multiple of 1864 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 1864 and 1872 the smallest integer that is 436176 that is divisible by both numbers.

Least Common Multiple (LCM) of 1864 and 1872 is 436176.

LCM(1864,1872) = 436176

LCM of 1864 and 1872

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

LCM of:
and

Least Common Multiple of 1864 and 1872

LCM of 1864 and 1872 is 436176

Least common multiple can be found by multiplying the highest exponent prime factors of 1864 and 1872. First we will calculate the prime factors of 1864 and 1872.

Prime Factorization of 1864


2 1864
2 932
2 466
233 233
1

Prime factors of 1864 are 2,233. Prime factorization of 1864 in exponential form is:

1864 = 23×2331

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 1864 and 1872.

LCM(1864,1872) = 24×32×131×2331
LCM(1864,1872) = 436176

Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1, 2, 4, 8, 233, 466, 932, 1864

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 1864 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 1864 and 1872, than apply into the LCM equation.

GCF(1864,1872) = 8
LCM(1864,1872) = ( 1864 × 1872) / 8
LCM(1864,1872) = 3489408 / 8
LCM(1864,1872) = 436176

Properties of LCM 1864 and 1872

(i) The LCM of 1872 and 1864 is associative

LCM of 1864 and 1872 = LCM of 1872 and 1864

Related Least Common Multiples of 1864

Related Least Common Multiples of 1872

Frequently Asked Questions on LCM of 1864 and 1872

1. What is the LCM of 1864 and 1872?

Answer: LCM of 1864 and 1872 is 436176.

2. What are the Factors of 1864?

Answer: Factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864. There are 8 integers that are factors of 1864. The greatest factor of 1864 is 1864.

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 1864 and 1872?

Answer:

Least Common Multiple of 1864 and 1872 = 436176

Step 1: Find the prime factorization of 1864

1864 = 2 x 2 x 2 x 233

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 = 436176 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 233

Step 4: Therefore, the least common multiple of 1864 and 1872 is 436176.