Least Common Multiple of 10245 and 10251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10245 and 10251 the smallest integer that is 35007165 that is divisible by both numbers.

Least Common Multiple (LCM) of 10245 and 10251 is 35007165.

LCM(10245,10251) = 35007165

LCM of 10245 and 10251

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

LCM of:
and

Least Common Multiple of 10245 and 10251

LCM of 10245 and 10251 is 35007165

Least common multiple can be found by multiplying the highest exponent prime factors of 10245 and 10251. First we will calculate the prime factors of 10245 and 10251.

Prime Factorization of 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3, 5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

Prime Factorization of 10251


3 10251
3 3417
17 1139
67 67
1

Prime factors of 10251 are 3, 17,67. Prime factorization of 10251 in exponential form is:

10251 = 32×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 10245 and 10251.

LCM(10245,10251) = 32×51×171×671×6831
LCM(10245,10251) = 35007165

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1, 3, 5, 15, 683, 2049, 3415, 10245

Factors of 10251

List of positive integer factors of 10251 that divides 10251 without a remainder.

1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251

Least Common Multiple of 10245 and 10251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10245 and 10251, than apply into the LCM equation.

GCF(10245,10251) = 3
LCM(10245,10251) = ( 10245 × 10251) / 3
LCM(10245,10251) = 105021495 / 3
LCM(10245,10251) = 35007165

Properties of LCM 10245 and 10251

(i) The LCM of 10251 and 10245 is associative

LCM of 10245 and 10251 = LCM of 10251 and 10245

Related Least Common Multiples of 10245

Related Least Common Multiples of 10251

Frequently Asked Questions on LCM of 10245 and 10251

1. What is the LCM of 10245 and 10251?

Answer: LCM of 10245 and 10251 is 35007165.

2. What are the Factors of 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

3. What are the Factors of 10251?

Answer: Factors of 10251 are 1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251. There are 12 integers that are factors of 10251. The greatest factor of 10251 is 10251.

4. How to Find the LCM of 10245 and 10251?

Answer:

Least Common Multiple of 10245 and 10251 = 35007165

Step 1: Find the prime factorization of 10245

10245 = 3 x 5 x 683

Step 2: Find the prime factorization of 10251

10251 = 3 x 3 x 17 x 67

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

LCM = 35007165 = 3 x 3 x 5 x 17 x 67 x 683

Step 4: Therefore, the least common multiple of 10245 and 10251 is 35007165.