Least Common Multiple of 7253 and 7261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7253 and 7261 the smallest integer that is 52664033 that is divisible by both numbers.

Least Common Multiple (LCM) of 7253 and 7261 is 52664033.

LCM(7253,7261) = 52664033

LCM of 7253 and 7261

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

LCM of:
and

Least Common Multiple of 7253 and 7261

LCM of 7253 and 7261 is 52664033

Least common multiple can be found by multiplying the highest exponent prime factors of 7253 and 7261. First we will calculate the prime factors of 7253 and 7261.

Prime Factorization of 7253


7253 7253
1

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

Prime Factorization of 7261


53 7261
137 137
1

Prime factors of 7261 are 53,137. Prime factorization of 7261 in exponential form is:

7261 = 531×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7253 and 7261.

LCM(7253,7261) = 531×1371×72531
LCM(7253,7261) = 52664033

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1, 7253

Factors of 7261

List of positive integer factors of 7261 that divides 7261 without a remainder.

1, 53, 137, 7261

Least Common Multiple of 7253 and 7261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7253 and 7261, than apply into the LCM equation.

GCF(7253,7261) = 1
LCM(7253,7261) = ( 7253 × 7261) / 1
LCM(7253,7261) = 52664033 / 1
LCM(7253,7261) = 52664033

Properties of LCM 7253 and 7261

(i) The LCM of 7261 and 7253 is associative

LCM of 7253 and 7261 = LCM of 7261 and 7253

Related Least Common Multiples of 7253

Related Least Common Multiples of 7261

Frequently Asked Questions on LCM of 7253 and 7261

1. What is the LCM of 7253 and 7261?

Answer: LCM of 7253 and 7261 is 52664033.

2. What are the Factors of 7253?

Answer: Factors of 7253 are 1, 7253. There are 2 integers that are factors of 7253. The greatest factor of 7253 is 7253.

3. What are the Factors of 7261?

Answer: Factors of 7261 are 1, 53, 137, 7261. There are 4 integers that are factors of 7261. The greatest factor of 7261 is 7261.

4. How to Find the LCM of 7253 and 7261?

Answer:

Least Common Multiple of 7253 and 7261 = 52664033

Step 1: Find the prime factorization of 7253

7253 = 7253

Step 2: Find the prime factorization of 7261

7261 = 53 x 137

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

LCM = 52664033 = 53 x 137 x 7253

Step 4: Therefore, the least common multiple of 7253 and 7261 is 52664033.