Least Common Multiple of 1852 and 1856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1852 and 1856 the smallest integer that is 859328 that is divisible by both numbers.

Least Common Multiple (LCM) of 1852 and 1856 is 859328.

LCM(1852,1856) = 859328

LCM of 1852 and 1856

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

LCM of:
and

Least Common Multiple of 1852 and 1856

LCM of 1852 and 1856 is 859328

Least common multiple can be found by multiplying the highest exponent prime factors of 1852 and 1856. First we will calculate the prime factors of 1852 and 1856.

Prime Factorization of 1852


2 1852
2 926
463 463
1

Prime factors of 1852 are 2,463. Prime factorization of 1852 in exponential form is:

1852 = 22×4631

Prime Factorization of 1856


2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 1856 are 2,29. Prime factorization of 1856 in exponential form is:

1856 = 26×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1852 and 1856.

LCM(1852,1856) = 26×291×4631
LCM(1852,1856) = 859328

Factors of 1852

List of positive integer factors of 1852 that divides 1852 without a remainder.

1, 2, 4, 463, 926, 1852

Factors of 1856

List of positive integer factors of 1856 that divides 1856 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856

Least Common Multiple of 1852 and 1856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1852 and 1856, than apply into the LCM equation.

GCF(1852,1856) = 4
LCM(1852,1856) = ( 1852 × 1856) / 4
LCM(1852,1856) = 3437312 / 4
LCM(1852,1856) = 859328

Properties of LCM 1852 and 1856

(i) The LCM of 1856 and 1852 is associative

LCM of 1852 and 1856 = LCM of 1856 and 1852

Related Least Common Multiples of 1852

Related Least Common Multiples of 1856

Frequently Asked Questions on LCM of 1852 and 1856

1. What is the LCM of 1852 and 1856?

Answer: LCM of 1852 and 1856 is 859328.

2. What are the Factors of 1852?

Answer: Factors of 1852 are 1, 2, 4, 463, 926, 1852. There are 6 integers that are factors of 1852. The greatest factor of 1852 is 1852.

3. What are the Factors of 1856?

Answer: Factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856. There are 14 integers that are factors of 1856. The greatest factor of 1856 is 1856.

4. How to Find the LCM of 1852 and 1856?

Answer:

Least Common Multiple of 1852 and 1856 = 859328

Step 1: Find the prime factorization of 1852

1852 = 2 x 2 x 463

Step 2: Find the prime factorization of 1856

1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29

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

LCM = 859328 = 2 x 2 x 2 x 2 x 2 x 2 x 29 x 463

Step 4: Therefore, the least common multiple of 1852 and 1856 is 859328.