Least Common Multiple of 10247 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 10247 and 10251 the smallest integer that is 105041997 that is divisible by both numbers.

Least Common Multiple (LCM) of 10247 and 10251 is 105041997.

LCM(10247,10251) = 105041997

LCM of 10247 and 10251

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

LCM of:
and

Least Common Multiple of 10247 and 10251

LCM of 10247 and 10251 is 105041997

Least common multiple can be found by multiplying the highest exponent prime factors of 10247 and 10251. First we will calculate the prime factors of 10247 and 10251.

Prime Factorization of 10247


10247 10247
1

Prime factors of 10247 are 10247. Prime factorization of 10247 in exponential form is:

10247 = 102471

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 10247 and 10251.

LCM(10247,10251) = 32×171×671×102471
LCM(10247,10251) = 105041997

Factors of 10247

List of positive integer factors of 10247 that divides 10247 without a remainder.

1, 10247

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 10247 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 10247 and 10251, than apply into the LCM equation.

GCF(10247,10251) = 1
LCM(10247,10251) = ( 10247 × 10251) / 1
LCM(10247,10251) = 105041997 / 1
LCM(10247,10251) = 105041997

Properties of LCM 10247 and 10251

(i) The LCM of 10251 and 10247 is associative

LCM of 10247 and 10251 = LCM of 10251 and 10247

Related Least Common Multiples of 10247

Related Least Common Multiples of 10251

Frequently Asked Questions on LCM of 10247 and 10251

1. What is the LCM of 10247 and 10251?

Answer: LCM of 10247 and 10251 is 105041997.

2. What are the Factors of 10247?

Answer: Factors of 10247 are 1, 10247. There are 2 integers that are factors of 10247. The greatest factor of 10247 is 10247.

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 10247 and 10251?

Answer:

Least Common Multiple of 10247 and 10251 = 105041997

Step 1: Find the prime factorization of 10247

10247 = 10247

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 = 105041997 = 3 x 3 x 17 x 67 x 10247

Step 4: Therefore, the least common multiple of 10247 and 10251 is 105041997.