Least Common Multiple of 34188 and 34193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34188 and 34193 the smallest integer that is 1168990284 that is divisible by both numbers.

Least Common Multiple (LCM) of 34188 and 34193 is 1168990284.

LCM(34188,34193) = 1168990284

LCM of 34188 and 34193

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

LCM of:
and

Least Common Multiple of 34188 and 34193

LCM of 34188 and 34193 is 1168990284

Least common multiple can be found by multiplying the highest exponent prime factors of 34188 and 34193. First we will calculate the prime factors of 34188 and 34193.

Prime Factorization of 34188


2 34188
2 17094
3 8547
7 2849
11 407
37 37
1

Prime factors of 34188 are 2, 3, 7, 11,37. Prime factorization of 34188 in exponential form is:

34188 = 22×31×71×111×371

Prime Factorization of 34193


31 34193
1103 1103
1

Prime factors of 34193 are 31,1103. Prime factorization of 34193 in exponential form is:

34193 = 311×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 34188 and 34193.

LCM(34188,34193) = 22×31×71×111×311×371×11031
LCM(34188,34193) = 1168990284

Factors of 34188

List of positive integer factors of 34188 that divides 34188 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188

Factors of 34193

List of positive integer factors of 34193 that divides 34193 without a remainder.

1, 31, 1103, 34193

Least Common Multiple of 34188 and 34193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34188 and 34193, than apply into the LCM equation.

GCF(34188,34193) = 1
LCM(34188,34193) = ( 34188 × 34193) / 1
LCM(34188,34193) = 1168990284 / 1
LCM(34188,34193) = 1168990284

Properties of LCM 34188 and 34193

(i) The LCM of 34193 and 34188 is associative

LCM of 34188 and 34193 = LCM of 34193 and 34188

Related Least Common Multiples of 34188

Related Least Common Multiples of 34193

Frequently Asked Questions on LCM of 34188 and 34193

1. What is the LCM of 34188 and 34193?

Answer: LCM of 34188 and 34193 is 1168990284.

2. What are the Factors of 34188?

Answer: Factors of 34188 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 37, 42, 44, 66, 74, 77, 84, 111, 132, 148, 154, 222, 231, 259, 308, 407, 444, 462, 518, 777, 814, 924, 1036, 1221, 1554, 1628, 2442, 2849, 3108, 4884, 5698, 8547, 11396, 17094, 34188. There are 48 integers that are factors of 34188. The greatest factor of 34188 is 34188.

3. What are the Factors of 34193?

Answer: Factors of 34193 are 1, 31, 1103, 34193. There are 4 integers that are factors of 34193. The greatest factor of 34193 is 34193.

4. How to Find the LCM of 34188 and 34193?

Answer:

Least Common Multiple of 34188 and 34193 = 1168990284

Step 1: Find the prime factorization of 34188

34188 = 2 x 2 x 3 x 7 x 11 x 37

Step 2: Find the prime factorization of 34193

34193 = 31 x 1103

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

LCM = 1168990284 = 2 x 2 x 3 x 7 x 11 x 31 x 37 x 1103

Step 4: Therefore, the least common multiple of 34188 and 34193 is 1168990284.