Least Common Multiple of 7253 and 7258

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 7258 the smallest integer that is 52642274 that is divisible by both numbers.

Least Common Multiple (LCM) of 7253 and 7258 is 52642274.

LCM(7253,7258) = 52642274

LCM of 7253 and 7258

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

LCM of:
and

Least Common Multiple of 7253 and 7258

LCM of 7253 and 7258 is 52642274

Least common multiple can be found by multiplying the highest exponent prime factors of 7253 and 7258. First we will calculate the prime factors of 7253 and 7258.

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 7258


2 7258
19 3629
191 191
1

Prime factors of 7258 are 2, 19,191. Prime factorization of 7258 in exponential form is:

7258 = 21×191×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7253 and 7258.

LCM(7253,7258) = 21×191×1911×72531
LCM(7253,7258) = 52642274

Factors of 7253

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

1, 7253

Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1, 2, 19, 38, 191, 382, 3629, 7258

Least Common Multiple of 7253 and 7258 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 7258, than apply into the LCM equation.

GCF(7253,7258) = 1
LCM(7253,7258) = ( 7253 × 7258) / 1
LCM(7253,7258) = 52642274 / 1
LCM(7253,7258) = 52642274

Properties of LCM 7253 and 7258

(i) The LCM of 7258 and 7253 is associative

LCM of 7253 and 7258 = LCM of 7258 and 7253

Related Least Common Multiples of 7253

Related Least Common Multiples of 7258

Frequently Asked Questions on LCM of 7253 and 7258

1. What is the LCM of 7253 and 7258?

Answer: LCM of 7253 and 7258 is 52642274.

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 7258?

Answer: Factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258. There are 8 integers that are factors of 7258. The greatest factor of 7258 is 7258.

4. How to Find the LCM of 7253 and 7258?

Answer:

Least Common Multiple of 7253 and 7258 = 52642274

Step 1: Find the prime factorization of 7253

7253 = 7253

Step 2: Find the prime factorization of 7258

7258 = 2 x 19 x 191

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

LCM = 52642274 = 2 x 19 x 191 x 7253

Step 4: Therefore, the least common multiple of 7253 and 7258 is 52642274.