Least Common Multiple of 1856 and 1862

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 1862 the smallest integer that is 1727936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1856 and 1862 is 1727936.

LCM(1856,1862) = 1727936

LCM of 1856 and 1862

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

LCM of:
and

Least Common Multiple of 1856 and 1862

LCM of 1856 and 1862 is 1727936

Least common multiple can be found by multiplying the highest exponent prime factors of 1856 and 1862. First we will calculate the prime factors of 1856 and 1862.

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 1862


2 1862
7 931
7 133
19 19
1

Prime factors of 1862 are 2, 7,19. Prime factorization of 1862 in exponential form is:

1862 = 21×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1856 and 1862.

LCM(1856,1862) = 26×72×191×291
LCM(1856,1862) = 1727936

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 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862

Least Common Multiple of 1856 and 1862 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 1862, than apply into the LCM equation.

GCF(1856,1862) = 2
LCM(1856,1862) = ( 1856 × 1862) / 2
LCM(1856,1862) = 3455872 / 2
LCM(1856,1862) = 1727936

Properties of LCM 1856 and 1862

(i) The LCM of 1862 and 1856 is associative

LCM of 1856 and 1862 = LCM of 1862 and 1856

Related Least Common Multiples of 1856

Related Least Common Multiples of 1862

Frequently Asked Questions on LCM of 1856 and 1862

1. What is the LCM of 1856 and 1862?

Answer: LCM of 1856 and 1862 is 1727936.

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 1862?

Answer: Factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862. There are 12 integers that are factors of 1862. The greatest factor of 1862 is 1862.

4. How to Find the LCM of 1856 and 1862?

Answer:

Least Common Multiple of 1856 and 1862 = 1727936

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 1862

1862 = 2 x 7 x 7 x 19

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

LCM = 1727936 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 1856 and 1862 is 1727936.