Least Common Multiple of 7271 and 7276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7271 and 7276 the smallest integer that is 52903796 that is divisible by both numbers.

Least Common Multiple (LCM) of 7271 and 7276 is 52903796.

LCM(7271,7276) = 52903796

LCM of 7271 and 7276

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

LCM of:
and

Least Common Multiple of 7271 and 7276

LCM of 7271 and 7276 is 52903796

Least common multiple can be found by multiplying the highest exponent prime factors of 7271 and 7276. First we will calculate the prime factors of 7271 and 7276.

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

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2, 17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7271 and 7276.

LCM(7271,7276) = 22×111×171×1071×6611
LCM(7271,7276) = 52903796

Factors of 7271

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

1, 11, 661, 7271

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

Least Common Multiple of 7271 and 7276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7271 and 7276, than apply into the LCM equation.

GCF(7271,7276) = 1
LCM(7271,7276) = ( 7271 × 7276) / 1
LCM(7271,7276) = 52903796 / 1
LCM(7271,7276) = 52903796

Properties of LCM 7271 and 7276

(i) The LCM of 7276 and 7271 is associative

LCM of 7271 and 7276 = LCM of 7276 and 7271

Related Least Common Multiples of 7271

Related Least Common Multiples of 7276

Frequently Asked Questions on LCM of 7271 and 7276

1. What is the LCM of 7271 and 7276?

Answer: LCM of 7271 and 7276 is 52903796.

2. 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.

3. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

4. How to Find the LCM of 7271 and 7276?

Answer:

Least Common Multiple of 7271 and 7276 = 52903796

Step 1: Find the prime factorization of 7271

7271 = 11 x 661

Step 2: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

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

LCM = 52903796 = 2 x 2 x 11 x 17 x 107 x 661

Step 4: Therefore, the least common multiple of 7271 and 7276 is 52903796.