Least Common Multiple of 1856 and 1859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1856 and 1859 the smallest integer that is 3450304 that is divisible by both numbers.

Least Common Multiple (LCM) of 1856 and 1859 is 3450304.

LCM(1856,1859) = 3450304

LCM of 1856 and 1859

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

LCM of:
and

Least Common Multiple of 1856 and 1859

LCM of 1856 and 1859 is 3450304

Least common multiple can be found by multiplying the highest exponent prime factors of 1856 and 1859. First we will calculate the prime factors of 1856 and 1859.

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

Prime Factorization of 1859


11 1859
13 169
13 13
1

Prime factors of 1859 are 11,13. Prime factorization of 1859 in exponential form is:

1859 = 111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1856 and 1859.

LCM(1856,1859) = 26×111×132×291
LCM(1856,1859) = 3450304

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

Factors of 1859

List of positive integer factors of 1859 that divides 1859 without a remainder.

1, 11, 13, 143, 169, 1859

Least Common Multiple of 1856 and 1859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1856 and 1859, than apply into the LCM equation.

GCF(1856,1859) = 1
LCM(1856,1859) = ( 1856 × 1859) / 1
LCM(1856,1859) = 3450304 / 1
LCM(1856,1859) = 3450304

Properties of LCM 1856 and 1859

(i) The LCM of 1859 and 1856 is associative

LCM of 1856 and 1859 = LCM of 1859 and 1856

Related Least Common Multiples of 1856

Related Least Common Multiples of 1859

Frequently Asked Questions on LCM of 1856 and 1859

1. What is the LCM of 1856 and 1859?

Answer: LCM of 1856 and 1859 is 3450304.

2. 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.

3. What are the Factors of 1859?

Answer: Factors of 1859 are 1, 11, 13, 143, 169, 1859. There are 6 integers that are factors of 1859. The greatest factor of 1859 is 1859.

4. How to Find the LCM of 1856 and 1859?

Answer:

Least Common Multiple of 1856 and 1859 = 3450304

Step 1: Find the prime factorization of 1856

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

Step 2: Find the prime factorization of 1859

1859 = 11 x 13 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 = 3450304 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 1856 and 1859 is 3450304.