Least Common Multiple of 15244 and 15251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15244 and 15251 the smallest integer that is 232486244 that is divisible by both numbers.

Least Common Multiple (LCM) of 15244 and 15251 is 232486244.

LCM(15244,15251) = 232486244

LCM of 15244 and 15251

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

LCM of:
and

Least Common Multiple of 15244 and 15251

LCM of 15244 and 15251 is 232486244

Least common multiple can be found by multiplying the highest exponent prime factors of 15244 and 15251. First we will calculate the prime factors of 15244 and 15251.

Prime Factorization of 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2, 37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

Prime Factorization of 15251


101 15251
151 151
1

Prime factors of 15251 are 101,151. Prime factorization of 15251 in exponential form is:

15251 = 1011×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 15244 and 15251.

LCM(15244,15251) = 22×371×1011×1031×1511
LCM(15244,15251) = 232486244

Factors of 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244

Factors of 15251

List of positive integer factors of 15251 that divides 15251 without a remainder.

1, 101, 151, 15251

Least Common Multiple of 15244 and 15251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15244 and 15251, than apply into the LCM equation.

GCF(15244,15251) = 1
LCM(15244,15251) = ( 15244 × 15251) / 1
LCM(15244,15251) = 232486244 / 1
LCM(15244,15251) = 232486244

Properties of LCM 15244 and 15251

(i) The LCM of 15251 and 15244 is associative

LCM of 15244 and 15251 = LCM of 15251 and 15244

Related Least Common Multiples of 15244

Related Least Common Multiples of 15251

Frequently Asked Questions on LCM of 15244 and 15251

1. What is the LCM of 15244 and 15251?

Answer: LCM of 15244 and 15251 is 232486244.

2. What are the Factors of 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

3. What are the Factors of 15251?

Answer: Factors of 15251 are 1, 101, 151, 15251. There are 4 integers that are factors of 15251. The greatest factor of 15251 is 15251.

4. How to Find the LCM of 15244 and 15251?

Answer:

Least Common Multiple of 15244 and 15251 = 232486244

Step 1: Find the prime factorization of 15244

15244 = 2 x 2 x 37 x 103

Step 2: Find the prime factorization of 15251

15251 = 101 x 151

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

LCM = 232486244 = 2 x 2 x 37 x 101 x 103 x 151

Step 4: Therefore, the least common multiple of 15244 and 15251 is 232486244.