Least Common Multiple of 34188 and 34190

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 34190 the smallest integer that is 584443860 that is divisible by both numbers.

Least Common Multiple (LCM) of 34188 and 34190 is 584443860.

LCM(34188,34190) = 584443860

LCM of 34188 and 34190

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

LCM of:
and

Least Common Multiple of 34188 and 34190

LCM of 34188 and 34190 is 584443860

Least common multiple can be found by multiplying the highest exponent prime factors of 34188 and 34190. First we will calculate the prime factors of 34188 and 34190.

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 34190


2 34190
5 17095
13 3419
263 263
1

Prime factors of 34190 are 2, 5, 13,263. Prime factorization of 34190 in exponential form is:

34190 = 21×51×131×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 34188 and 34190.

LCM(34188,34190) = 22×31×51×71×111×131×371×2631
LCM(34188,34190) = 584443860

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 34190

List of positive integer factors of 34190 that divides 34190 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 263, 526, 1315, 2630, 3419, 6838, 17095, 34190

Least Common Multiple of 34188 and 34190 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 34190, than apply into the LCM equation.

GCF(34188,34190) = 2
LCM(34188,34190) = ( 34188 × 34190) / 2
LCM(34188,34190) = 1168887720 / 2
LCM(34188,34190) = 584443860

Properties of LCM 34188 and 34190

(i) The LCM of 34190 and 34188 is associative

LCM of 34188 and 34190 = LCM of 34190 and 34188

Frequently Asked Questions on LCM of 34188 and 34190

1. What is the LCM of 34188 and 34190?

Answer: LCM of 34188 and 34190 is 584443860.

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 34190?

Answer: Factors of 34190 are 1, 2, 5, 10, 13, 26, 65, 130, 263, 526, 1315, 2630, 3419, 6838, 17095, 34190. There are 16 integers that are factors of 34190. The greatest factor of 34190 is 34190.

4. How to Find the LCM of 34188 and 34190?

Answer:

Least Common Multiple of 34188 and 34190 = 584443860

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 34190

34190 = 2 x 5 x 13 x 263

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

LCM = 584443860 = 2 x 2 x 3 x 5 x 7 x 11 x 13 x 37 x 263

Step 4: Therefore, the least common multiple of 34188 and 34190 is 584443860.