Least Common Multiple of 7244 and 7251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7244 and 7251 the smallest integer that is 52526244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7244 and 7251 is 52526244.

LCM(7244,7251) = 52526244

LCM of 7244 and 7251

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

LCM of:
and

Least Common Multiple of 7244 and 7251

LCM of 7244 and 7251 is 52526244

Least common multiple can be found by multiplying the highest exponent prime factors of 7244 and 7251. First we will calculate the prime factors of 7244 and 7251.

Prime Factorization of 7244


2 7244
2 3622
1811 1811
1

Prime factors of 7244 are 2,1811. Prime factorization of 7244 in exponential form is:

7244 = 22×18111

Prime Factorization of 7251


3 7251
2417 2417
1

Prime factors of 7251 are 3,2417. Prime factorization of 7251 in exponential form is:

7251 = 31×24171

Now multiplying the highest exponent prime factors to calculate the LCM of 7244 and 7251.

LCM(7244,7251) = 22×31×18111×24171
LCM(7244,7251) = 52526244

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1, 2, 4, 1811, 3622, 7244

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1, 3, 2417, 7251

Least Common Multiple of 7244 and 7251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7244 and 7251, than apply into the LCM equation.

GCF(7244,7251) = 1
LCM(7244,7251) = ( 7244 × 7251) / 1
LCM(7244,7251) = 52526244 / 1
LCM(7244,7251) = 52526244

Properties of LCM 7244 and 7251

(i) The LCM of 7251 and 7244 is associative

LCM of 7244 and 7251 = LCM of 7251 and 7244

Related Least Common Multiples of 7244

Related Least Common Multiples of 7251

Frequently Asked Questions on LCM of 7244 and 7251

1. What is the LCM of 7244 and 7251?

Answer: LCM of 7244 and 7251 is 52526244.

2. What are the Factors of 7244?

Answer: Factors of 7244 are 1, 2, 4, 1811, 3622, 7244. There are 6 integers that are factors of 7244. The greatest factor of 7244 is 7244.

3. What are the Factors of 7251?

Answer: Factors of 7251 are 1, 3, 2417, 7251. There are 4 integers that are factors of 7251. The greatest factor of 7251 is 7251.

4. How to Find the LCM of 7244 and 7251?

Answer:

Least Common Multiple of 7244 and 7251 = 52526244

Step 1: Find the prime factorization of 7244

7244 = 2 x 2 x 1811

Step 2: Find the prime factorization of 7251

7251 = 3 x 2417

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

LCM = 52526244 = 2 x 2 x 3 x 1811 x 2417

Step 4: Therefore, the least common multiple of 7244 and 7251 is 52526244.