Least Common Multiple of 7241 and 7247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7241 and 7247 the smallest integer that is 52475527 that is divisible by both numbers.

Least Common Multiple (LCM) of 7241 and 7247 is 52475527.

LCM(7241,7247) = 52475527

LCM of 7241 and 7247

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

LCM of:
and

Least Common Multiple of 7241 and 7247

LCM of 7241 and 7247 is 52475527

Least common multiple can be found by multiplying the highest exponent prime factors of 7241 and 7247. First we will calculate the prime factors of 7241 and 7247.

Prime Factorization of 7241


13 7241
557 557
1

Prime factors of 7241 are 13,557. Prime factorization of 7241 in exponential form is:

7241 = 131×5571

Prime Factorization of 7247


7247 7247
1

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

Now multiplying the highest exponent prime factors to calculate the LCM of 7241 and 7247.

LCM(7241,7247) = 131×5571×72471
LCM(7241,7247) = 52475527

Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1, 13, 557, 7241

Factors of 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1, 7247

Least Common Multiple of 7241 and 7247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7241 and 7247, than apply into the LCM equation.

GCF(7241,7247) = 1
LCM(7241,7247) = ( 7241 × 7247) / 1
LCM(7241,7247) = 52475527 / 1
LCM(7241,7247) = 52475527

Properties of LCM 7241 and 7247

(i) The LCM of 7247 and 7241 is associative

LCM of 7241 and 7247 = LCM of 7247 and 7241

Related Least Common Multiples of 7241

Related Least Common Multiples of 7247

Frequently Asked Questions on LCM of 7241 and 7247

1. What is the LCM of 7241 and 7247?

Answer: LCM of 7241 and 7247 is 52475527.

2. What are the Factors of 7241?

Answer: Factors of 7241 are 1, 13, 557, 7241. There are 4 integers that are factors of 7241. The greatest factor of 7241 is 7241.

3. What are the Factors of 7247?

Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.

4. How to Find the LCM of 7241 and 7247?

Answer:

Least Common Multiple of 7241 and 7247 = 52475527

Step 1: Find the prime factorization of 7241

7241 = 13 x 557

Step 2: Find the prime factorization of 7247

7247 = 7247

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

LCM = 52475527 = 13 x 557 x 7247

Step 4: Therefore, the least common multiple of 7241 and 7247 is 52475527.