Least Common Multiple of 34177 and 34182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34177 and 34182 the smallest integer that is 1168238214 that is divisible by both numbers.

Least Common Multiple (LCM) of 34177 and 34182 is 1168238214.

LCM(34177,34182) = 1168238214

LCM of 34177 and 34182

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

LCM of:
and

Least Common Multiple of 34177 and 34182

LCM of 34177 and 34182 is 1168238214

Least common multiple can be found by multiplying the highest exponent prime factors of 34177 and 34182. First we will calculate the prime factors of 34177 and 34182.

Prime Factorization of 34177


11 34177
13 3107
239 239
1

Prime factors of 34177 are 11, 13,239. Prime factorization of 34177 in exponential form is:

34177 = 111×131×2391

Prime Factorization of 34182


2 34182
3 17091
3 5697
3 1899
3 633
211 211
1

Prime factors of 34182 are 2, 3,211. Prime factorization of 34182 in exponential form is:

34182 = 21×34×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 34177 and 34182.

LCM(34177,34182) = 21×34×111×131×2111×2391
LCM(34177,34182) = 1168238214

Factors of 34177

List of positive integer factors of 34177 that divides 34177 without a remainder.

1, 11, 13, 143, 239, 2629, 3107, 34177

Factors of 34182

List of positive integer factors of 34182 that divides 34182 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182

Least Common Multiple of 34177 and 34182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34177 and 34182, than apply into the LCM equation.

GCF(34177,34182) = 1
LCM(34177,34182) = ( 34177 × 34182) / 1
LCM(34177,34182) = 1168238214 / 1
LCM(34177,34182) = 1168238214

Properties of LCM 34177 and 34182

(i) The LCM of 34182 and 34177 is associative

LCM of 34177 and 34182 = LCM of 34182 and 34177

Related Least Common Multiples of 34177

Related Least Common Multiples of 34182

Frequently Asked Questions on LCM of 34177 and 34182

1. What is the LCM of 34177 and 34182?

Answer: LCM of 34177 and 34182 is 1168238214.

2. What are the Factors of 34177?

Answer: Factors of 34177 are 1, 11, 13, 143, 239, 2629, 3107, 34177. There are 8 integers that are factors of 34177. The greatest factor of 34177 is 34177.

3. What are the Factors of 34182?

Answer: Factors of 34182 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182. There are 20 integers that are factors of 34182. The greatest factor of 34182 is 34182.

4. How to Find the LCM of 34177 and 34182?

Answer:

Least Common Multiple of 34177 and 34182 = 1168238214

Step 1: Find the prime factorization of 34177

34177 = 11 x 13 x 239

Step 2: Find the prime factorization of 34182

34182 = 2 x 3 x 3 x 3 x 3 x 211

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

LCM = 1168238214 = 2 x 3 x 3 x 3 x 3 x 11 x 13 x 211 x 239

Step 4: Therefore, the least common multiple of 34177 and 34182 is 1168238214.