Least Common Multiple of 10244 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 10244 and 10251 the smallest integer that is 105011244 that is divisible by both numbers.

Least Common Multiple (LCM) of 10244 and 10251 is 105011244.

LCM(10244,10251) = 105011244

LCM of 10244 and 10251

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

LCM of:
and

Least Common Multiple of 10244 and 10251

LCM of 10244 and 10251 is 105011244

Least common multiple can be found by multiplying the highest exponent prime factors of 10244 and 10251. First we will calculate the prime factors of 10244 and 10251.

Prime Factorization of 10244


2 10244
2 5122
13 2561
197 197
1

Prime factors of 10244 are 2, 13,197. Prime factorization of 10244 in exponential form is:

10244 = 22×131×1971

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 10244 and 10251.

LCM(10244,10251) = 22×32×131×171×671×1971
LCM(10244,10251) = 105011244

Factors of 10244

List of positive integer factors of 10244 that divides 10244 without a remainder.

1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244

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 10244 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 10244 and 10251, than apply into the LCM equation.

GCF(10244,10251) = 1
LCM(10244,10251) = ( 10244 × 10251) / 1
LCM(10244,10251) = 105011244 / 1
LCM(10244,10251) = 105011244

Properties of LCM 10244 and 10251

(i) The LCM of 10251 and 10244 is associative

LCM of 10244 and 10251 = LCM of 10251 and 10244

Related Least Common Multiples of 10244

Related Least Common Multiples of 10251

Frequently Asked Questions on LCM of 10244 and 10251

1. What is the LCM of 10244 and 10251?

Answer: LCM of 10244 and 10251 is 105011244.

2. What are the Factors of 10244?

Answer: Factors of 10244 are 1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244. There are 12 integers that are factors of 10244. The greatest factor of 10244 is 10244.

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 10244 and 10251?

Answer:

Least Common Multiple of 10244 and 10251 = 105011244

Step 1: Find the prime factorization of 10244

10244 = 2 x 2 x 13 x 197

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 = 105011244 = 2 x 2 x 3 x 3 x 13 x 17 x 67 x 197

Step 4: Therefore, the least common multiple of 10244 and 10251 is 105011244.