Least Common Multiple of 33850 and 33858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33850 and 33858 the smallest integer that is 573046650 that is divisible by both numbers.

Least Common Multiple (LCM) of 33850 and 33858 is 573046650.

LCM(33850,33858) = 573046650

LCM of 33850 and 33858

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

LCM of:
and

Least Common Multiple of 33850 and 33858

LCM of 33850 and 33858 is 573046650

Least common multiple can be found by multiplying the highest exponent prime factors of 33850 and 33858. First we will calculate the prime factors of 33850 and 33858.

Prime Factorization of 33850


2 33850
5 16925
5 3385
677 677
1

Prime factors of 33850 are 2, 5,677. Prime factorization of 33850 in exponential form is:

33850 = 21×52×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 33850 and 33858.

LCM(33850,33858) = 21×34×52×111×191×6771
LCM(33850,33858) = 573046650

Factors of 33850

List of positive integer factors of 33850 that divides 33850 without a remainder.

1, 2, 5, 10, 25, 50, 677, 1354, 3385, 6770, 16925, 33850

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

Least Common Multiple of 33850 and 33858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33850 and 33858, than apply into the LCM equation.

GCF(33850,33858) = 2
LCM(33850,33858) = ( 33850 × 33858) / 2
LCM(33850,33858) = 1146093300 / 2
LCM(33850,33858) = 573046650

Properties of LCM 33850 and 33858

(i) The LCM of 33858 and 33850 is associative

LCM of 33850 and 33858 = LCM of 33858 and 33850

Related Least Common Multiples of 33850

Related Least Common Multiples of 33858

Frequently Asked Questions on LCM of 33850 and 33858

1. What is the LCM of 33850 and 33858?

Answer: LCM of 33850 and 33858 is 573046650.

2. What are the Factors of 33850?

Answer: Factors of 33850 are 1, 2, 5, 10, 25, 50, 677, 1354, 3385, 6770, 16925, 33850. There are 12 integers that are factors of 33850. The greatest factor of 33850 is 33850.

3. 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.

4. How to Find the LCM of 33850 and 33858?

Answer:

Least Common Multiple of 33850 and 33858 = 573046650

Step 1: Find the prime factorization of 33850

33850 = 2 x 5 x 5 x 677

Step 2: Find the prime factorization of 33858

33858 = 2 x 3 x 3 x 3 x 3 x 11 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 = 573046650 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 19 x 677

Step 4: Therefore, the least common multiple of 33850 and 33858 is 573046650.