Least Common Multiple of 7257 and 7265

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 7265 the smallest integer that is 52722105 that is divisible by both numbers.

Least Common Multiple (LCM) of 7257 and 7265 is 52722105.

LCM(7257,7265) = 52722105

LCM of 7257 and 7265

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

LCM of:
and

Least Common Multiple of 7257 and 7265

LCM of 7257 and 7265 is 52722105

Least common multiple can be found by multiplying the highest exponent prime factors of 7257 and 7265. First we will calculate the prime factors of 7257 and 7265.

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 7265


5 7265
1453 1453
1

Prime factors of 7265 are 5,1453. Prime factorization of 7265 in exponential form is:

7265 = 51×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 7257 and 7265.

LCM(7257,7265) = 31×51×411×591×14531
LCM(7257,7265) = 52722105

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 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1, 5, 1453, 7265

Least Common Multiple of 7257 and 7265 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 7265, than apply into the LCM equation.

GCF(7257,7265) = 1
LCM(7257,7265) = ( 7257 × 7265) / 1
LCM(7257,7265) = 52722105 / 1
LCM(7257,7265) = 52722105

Properties of LCM 7257 and 7265

(i) The LCM of 7265 and 7257 is associative

LCM of 7257 and 7265 = LCM of 7265 and 7257

Related Least Common Multiples of 7257

Related Least Common Multiples of 7265

Frequently Asked Questions on LCM of 7257 and 7265

1. What is the LCM of 7257 and 7265?

Answer: LCM of 7257 and 7265 is 52722105.

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 7265?

Answer: Factors of 7265 are 1, 5, 1453, 7265. There are 4 integers that are factors of 7265. The greatest factor of 7265 is 7265.

4. How to Find the LCM of 7257 and 7265?

Answer:

Least Common Multiple of 7257 and 7265 = 52722105

Step 1: Find the prime factorization of 7257

7257 = 3 x 41 x 59

Step 2: Find the prime factorization of 7265

7265 = 5 x 1453

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

LCM = 52722105 = 3 x 5 x 41 x 59 x 1453

Step 4: Therefore, the least common multiple of 7257 and 7265 is 52722105.