Least Common Multiple of 34238 and 34245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34238 and 34245 the smallest integer that is 1172480310 that is divisible by both numbers.

Least Common Multiple (LCM) of 34238 and 34245 is 1172480310.

LCM(34238,34245) = 1172480310

LCM of 34238 and 34245

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

LCM of:
and

Least Common Multiple of 34238 and 34245

LCM of 34238 and 34245 is 1172480310

Least common multiple can be found by multiplying the highest exponent prime factors of 34238 and 34245. First we will calculate the prime factors of 34238 and 34245.

Prime Factorization of 34238


2 34238
17 17119
19 1007
53 53
1

Prime factors of 34238 are 2, 17, 19,53. Prime factorization of 34238 in exponential form is:

34238 = 21×171×191×531

Prime Factorization of 34245


3 34245
3 11415
5 3805
761 761
1

Prime factors of 34245 are 3, 5,761. Prime factorization of 34245 in exponential form is:

34245 = 32×51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 34238 and 34245.

LCM(34238,34245) = 21×32×51×171×191×531×7611
LCM(34238,34245) = 1172480310

Factors of 34238

List of positive integer factors of 34238 that divides 34238 without a remainder.

1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238

Factors of 34245

List of positive integer factors of 34245 that divides 34245 without a remainder.

1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849, 11415, 34245

Least Common Multiple of 34238 and 34245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34238 and 34245, than apply into the LCM equation.

GCF(34238,34245) = 1
LCM(34238,34245) = ( 34238 × 34245) / 1
LCM(34238,34245) = 1172480310 / 1
LCM(34238,34245) = 1172480310

Properties of LCM 34238 and 34245

(i) The LCM of 34245 and 34238 is associative

LCM of 34238 and 34245 = LCM of 34245 and 34238

Related Least Common Multiples of 34238

Related Least Common Multiples of 34245

Frequently Asked Questions on LCM of 34238 and 34245

1. What is the LCM of 34238 and 34245?

Answer: LCM of 34238 and 34245 is 1172480310.

2. What are the Factors of 34238?

Answer: Factors of 34238 are 1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238. There are 16 integers that are factors of 34238. The greatest factor of 34238 is 34238.

3. What are the Factors of 34245?

Answer: Factors of 34245 are 1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849, 11415, 34245. There are 12 integers that are factors of 34245. The greatest factor of 34245 is 34245.

4. How to Find the LCM of 34238 and 34245?

Answer:

Least Common Multiple of 34238 and 34245 = 1172480310

Step 1: Find the prime factorization of 34238

34238 = 2 x 17 x 19 x 53

Step 2: Find the prime factorization of 34245

34245 = 3 x 3 x 5 x 761

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

LCM = 1172480310 = 2 x 3 x 3 x 5 x 17 x 19 x 53 x 761

Step 4: Therefore, the least common multiple of 34238 and 34245 is 1172480310.