Least Common Multiple of 33858 and 33863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33858 and 33863 the smallest integer that is 1146533454 that is divisible by both numbers.

Least Common Multiple (LCM) of 33858 and 33863 is 1146533454.

LCM(33858,33863) = 1146533454

LCM of 33858 and 33863

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

LCM of:
and

Least Common Multiple of 33858 and 33863

LCM of 33858 and 33863 is 1146533454

Least common multiple can be found by multiplying the highest exponent prime factors of 33858 and 33863. First we will calculate the prime factors of 33858 and 33863.

Prime Factorization of 33858


2 33858
3 16929
3 5643
3 1881
3 627
11 209
19 19
1

Prime factors of 33858 are 2, 3, 11,19. Prime factorization of 33858 in exponential form is:

33858 = 21×34×111×191

Prime Factorization of 33863


33863 33863
1

Prime factors of 33863 are 33863. Prime factorization of 33863 in exponential form is:

33863 = 338631

Now multiplying the highest exponent prime factors to calculate the LCM of 33858 and 33863.

LCM(33858,33863) = 21×34×111×191×338631
LCM(33858,33863) = 1146533454

Factors of 33858

List of positive integer factors of 33858 that divides 33858 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 81, 99, 114, 162, 171, 198, 209, 297, 342, 418, 513, 594, 627, 891, 1026, 1254, 1539, 1782, 1881, 3078, 3762, 5643, 11286, 16929, 33858

Factors of 33863

List of positive integer factors of 33863 that divides 33863 without a remainder.

1, 33863

Least Common Multiple of 33858 and 33863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33858 and 33863, than apply into the LCM equation.

GCF(33858,33863) = 1
LCM(33858,33863) = ( 33858 × 33863) / 1
LCM(33858,33863) = 1146533454 / 1
LCM(33858,33863) = 1146533454

Properties of LCM 33858 and 33863

(i) The LCM of 33863 and 33858 is associative

LCM of 33858 and 33863 = LCM of 33863 and 33858

Related Least Common Multiples of 33858

Related Least Common Multiples of 33863

Frequently Asked Questions on LCM of 33858 and 33863

1. What is the LCM of 33858 and 33863?

Answer: LCM of 33858 and 33863 is 1146533454.

2. What are the Factors of 33858?

Answer: Factors of 33858 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 81, 99, 114, 162, 171, 198, 209, 297, 342, 418, 513, 594, 627, 891, 1026, 1254, 1539, 1782, 1881, 3078, 3762, 5643, 11286, 16929, 33858. There are 40 integers that are factors of 33858. The greatest factor of 33858 is 33858.

3. What are the Factors of 33863?

Answer: Factors of 33863 are 1, 33863. There are 2 integers that are factors of 33863. The greatest factor of 33863 is 33863.

4. How to Find the LCM of 33858 and 33863?

Answer:

Least Common Multiple of 33858 and 33863 = 1146533454

Step 1: Find the prime factorization of 33858

33858 = 2 x 3 x 3 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 33863

33863 = 33863

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

LCM = 1146533454 = 2 x 3 x 3 x 3 x 3 x 11 x 19 x 33863

Step 4: Therefore, the least common multiple of 33858 and 33863 is 1146533454.