Least Common Multiple of 7266 and 7269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7266 and 7269 the smallest integer that is 17605518 that is divisible by both numbers.

Least Common Multiple (LCM) of 7266 and 7269 is 17605518.

LCM(7266,7269) = 17605518

LCM of 7266 and 7269

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

LCM of:
and

Least Common Multiple of 7266 and 7269

LCM of 7266 and 7269 is 17605518

Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7269. First we will calculate the prime factors of 7266 and 7269.

Prime Factorization of 7266


2 7266
3 3633
7 1211
173 173
1

Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:

7266 = 21×31×71×1731

Prime Factorization of 7269


3 7269
2423 2423
1

Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:

7269 = 31×24231

Now multiplying the highest exponent prime factors to calculate the LCM of 7266 and 7269.

LCM(7266,7269) = 21×31×71×1731×24231
LCM(7266,7269) = 17605518

Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1, 3, 2423, 7269

Least Common Multiple of 7266 and 7269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7266 and 7269, than apply into the LCM equation.

GCF(7266,7269) = 3
LCM(7266,7269) = ( 7266 × 7269) / 3
LCM(7266,7269) = 52816554 / 3
LCM(7266,7269) = 17605518

Properties of LCM 7266 and 7269

(i) The LCM of 7269 and 7266 is associative

LCM of 7266 and 7269 = LCM of 7269 and 7266

Related Least Common Multiples of 7266

Related Least Common Multiples of 7269

Frequently Asked Questions on LCM of 7266 and 7269

1. What is the LCM of 7266 and 7269?

Answer: LCM of 7266 and 7269 is 17605518.

2. What are the Factors of 7266?

Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.

3. What are the Factors of 7269?

Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.

4. How to Find the LCM of 7266 and 7269?

Answer:

Least Common Multiple of 7266 and 7269 = 17605518

Step 1: Find the prime factorization of 7266

7266 = 2 x 3 x 7 x 173

Step 2: Find the prime factorization of 7269

7269 = 3 x 2423

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

LCM = 17605518 = 2 x 3 x 7 x 173 x 2423

Step 4: Therefore, the least common multiple of 7266 and 7269 is 17605518.