Least Common Multiple of 7258 and 7263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7258 and 7263 the smallest integer that is 52714854 that is divisible by both numbers.

Least Common Multiple (LCM) of 7258 and 7263 is 52714854.

LCM(7258,7263) = 52714854

LCM of 7258 and 7263

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

LCM of:
and

Least Common Multiple of 7258 and 7263

LCM of 7258 and 7263 is 52714854

Least common multiple can be found by multiplying the highest exponent prime factors of 7258 and 7263. First we will calculate the prime factors of 7258 and 7263.

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

Prime Factorization of 7263


3 7263
3 2421
3 807
269 269
1

Prime factors of 7263 are 3,269. Prime factorization of 7263 in exponential form is:

7263 = 33×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 7258 and 7263.

LCM(7258,7263) = 21×33×191×1911×2691
LCM(7258,7263) = 52714854

Factors of 7258

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

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

Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1, 3, 9, 27, 269, 807, 2421, 7263

Least Common Multiple of 7258 and 7263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7258 and 7263, than apply into the LCM equation.

GCF(7258,7263) = 1
LCM(7258,7263) = ( 7258 × 7263) / 1
LCM(7258,7263) = 52714854 / 1
LCM(7258,7263) = 52714854

Properties of LCM 7258 and 7263

(i) The LCM of 7263 and 7258 is associative

LCM of 7258 and 7263 = LCM of 7263 and 7258

Related Least Common Multiples of 7258

Related Least Common Multiples of 7263

Frequently Asked Questions on LCM of 7258 and 7263

1. What is the LCM of 7258 and 7263?

Answer: LCM of 7258 and 7263 is 52714854.

2. 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.

3. What are the Factors of 7263?

Answer: Factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263. There are 8 integers that are factors of 7263. The greatest factor of 7263 is 7263.

4. How to Find the LCM of 7258 and 7263?

Answer:

Least Common Multiple of 7258 and 7263 = 52714854

Step 1: Find the prime factorization of 7258

7258 = 2 x 19 x 191

Step 2: Find the prime factorization of 7263

7263 = 3 x 3 x 3 x 269

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

LCM = 52714854 = 2 x 3 x 3 x 3 x 19 x 191 x 269

Step 4: Therefore, the least common multiple of 7258 and 7263 is 52714854.