Least Common Multiple of 7257 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 7257 and 7263 the smallest integer that is 17569197 that is divisible by both numbers.

Least Common Multiple (LCM) of 7257 and 7263 is 17569197.

LCM(7257,7263) = 17569197

LCM of 7257 and 7263

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

LCM of:
and

Least Common Multiple of 7257 and 7263

LCM of 7257 and 7263 is 17569197

Least common multiple can be found by multiplying the highest exponent prime factors of 7257 and 7263. First we will calculate the prime factors of 7257 and 7263.

Prime Factorization of 7257


3 7257
41 2419
59 59
1

Prime factors of 7257 are 3, 41,59. Prime factorization of 7257 in exponential form is:

7257 = 31×411×591

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 7257 and 7263.

LCM(7257,7263) = 33×411×591×2691
LCM(7257,7263) = 17569197

Factors of 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1, 3, 41, 59, 123, 177, 2419, 7257

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 7257 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 7257 and 7263, than apply into the LCM equation.

GCF(7257,7263) = 3
LCM(7257,7263) = ( 7257 × 7263) / 3
LCM(7257,7263) = 52707591 / 3
LCM(7257,7263) = 17569197

Properties of LCM 7257 and 7263

(i) The LCM of 7263 and 7257 is associative

LCM of 7257 and 7263 = LCM of 7263 and 7257

Related Least Common Multiples of 7257

Related Least Common Multiples of 7263

Frequently Asked Questions on LCM of 7257 and 7263

1. What is the LCM of 7257 and 7263?

Answer: LCM of 7257 and 7263 is 17569197.

2. What are the Factors of 7257?

Answer: Factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257. There are 8 integers that are factors of 7257. The greatest factor of 7257 is 7257.

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 7257 and 7263?

Answer:

Least Common Multiple of 7257 and 7263 = 17569197

Step 1: Find the prime factorization of 7257

7257 = 3 x 41 x 59

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 = 17569197 = 3 x 3 x 3 x 41 x 59 x 269

Step 4: Therefore, the least common multiple of 7257 and 7263 is 17569197.