Least Common Multiple of 34245 and 34251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34245 and 34251 the smallest integer that is 390975165 that is divisible by both numbers.

Least Common Multiple (LCM) of 34245 and 34251 is 390975165.

LCM(34245,34251) = 390975165

LCM of 34245 and 34251

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

LCM of:
and

Least Common Multiple of 34245 and 34251

LCM of 34245 and 34251 is 390975165

Least common multiple can be found by multiplying the highest exponent prime factors of 34245 and 34251. First we will calculate the prime factors of 34245 and 34251.

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

Prime Factorization of 34251


3 34251
7 11417
7 1631
233 233
1

Prime factors of 34251 are 3, 7,233. Prime factorization of 34251 in exponential form is:

34251 = 31×72×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 34245 and 34251.

LCM(34245,34251) = 32×51×72×2331×7611
LCM(34245,34251) = 390975165

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

Factors of 34251

List of positive integer factors of 34251 that divides 34251 without a remainder.

1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251

Least Common Multiple of 34245 and 34251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34245 and 34251, than apply into the LCM equation.

GCF(34245,34251) = 3
LCM(34245,34251) = ( 34245 × 34251) / 3
LCM(34245,34251) = 1172925495 / 3
LCM(34245,34251) = 390975165

Properties of LCM 34245 and 34251

(i) The LCM of 34251 and 34245 is associative

LCM of 34245 and 34251 = LCM of 34251 and 34245

Related Least Common Multiples of 34245

Related Least Common Multiples of 34251

Frequently Asked Questions on LCM of 34245 and 34251

1. What is the LCM of 34245 and 34251?

Answer: LCM of 34245 and 34251 is 390975165.

2. 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.

3. What are the Factors of 34251?

Answer: Factors of 34251 are 1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417, 34251. There are 12 integers that are factors of 34251. The greatest factor of 34251 is 34251.

4. How to Find the LCM of 34245 and 34251?

Answer:

Least Common Multiple of 34245 and 34251 = 390975165

Step 1: Find the prime factorization of 34245

34245 = 3 x 3 x 5 x 761

Step 2: Find the prime factorization of 34251

34251 = 3 x 7 x 7 x 233

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

LCM = 390975165 = 3 x 3 x 5 x 7 x 7 x 233 x 761

Step 4: Therefore, the least common multiple of 34245 and 34251 is 390975165.