Least Common Multiple of 7266 and 7271

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 7271 the smallest integer that is 52831086 that is divisible by both numbers.

Least Common Multiple (LCM) of 7266 and 7271 is 52831086.

LCM(7266,7271) = 52831086

LCM of 7266 and 7271

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

LCM of:
and

Least Common Multiple of 7266 and 7271

LCM of 7266 and 7271 is 52831086

Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7271. First we will calculate the prime factors of 7266 and 7271.

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 7271


11 7271
661 661
1

Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:

7271 = 111×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 7266 and 7271.

LCM(7266,7271) = 21×31×71×111×1731×6611
LCM(7266,7271) = 52831086

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 7271

List of positive integer factors of 7271 that divides 7271 without a remainder.

1, 11, 661, 7271

Least Common Multiple of 7266 and 7271 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 7271, than apply into the LCM equation.

GCF(7266,7271) = 1
LCM(7266,7271) = ( 7266 × 7271) / 1
LCM(7266,7271) = 52831086 / 1
LCM(7266,7271) = 52831086

Properties of LCM 7266 and 7271

(i) The LCM of 7271 and 7266 is associative

LCM of 7266 and 7271 = LCM of 7271 and 7266

Related Least Common Multiples of 7266

Related Least Common Multiples of 7271

Frequently Asked Questions on LCM of 7266 and 7271

1. What is the LCM of 7266 and 7271?

Answer: LCM of 7266 and 7271 is 52831086.

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 7271?

Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.

4. How to Find the LCM of 7266 and 7271?

Answer:

Least Common Multiple of 7266 and 7271 = 52831086

Step 1: Find the prime factorization of 7266

7266 = 2 x 3 x 7 x 173

Step 2: Find the prime factorization of 7271

7271 = 11 x 661

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

LCM = 52831086 = 2 x 3 x 7 x 11 x 173 x 661

Step 4: Therefore, the least common multiple of 7266 and 7271 is 52831086.