Least Common Multiple of 7276 and 7284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7276 and 7284 the smallest integer that is 13249596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7276 and 7284 is 13249596.

LCM(7276,7284) = 13249596

LCM of 7276 and 7284

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

LCM of:
and

Least Common Multiple of 7276 and 7284

LCM of 7276 and 7284 is 13249596

Least common multiple can be found by multiplying the highest exponent prime factors of 7276 and 7284. First we will calculate the prime factors of 7276 and 7284.

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

Prime Factorization of 7284


2 7284
2 3642
3 1821
607 607
1

Prime factors of 7284 are 2, 3,607. Prime factorization of 7284 in exponential form is:

7284 = 22×31×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 7276 and 7284.

LCM(7276,7284) = 22×31×171×1071×6071
LCM(7276,7284) = 13249596

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

Factors of 7284

List of positive integer factors of 7284 that divides 7284 without a remainder.

1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284

Least Common Multiple of 7276 and 7284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7276 and 7284, than apply into the LCM equation.

GCF(7276,7284) = 4
LCM(7276,7284) = ( 7276 × 7284) / 4
LCM(7276,7284) = 52998384 / 4
LCM(7276,7284) = 13249596

Properties of LCM 7276 and 7284

(i) The LCM of 7284 and 7276 is associative

LCM of 7276 and 7284 = LCM of 7284 and 7276

Related Least Common Multiples of 7276

Related Least Common Multiples of 7284

Frequently Asked Questions on LCM of 7276 and 7284

1. What is the LCM of 7276 and 7284?

Answer: LCM of 7276 and 7284 is 13249596.

2. 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.

3. What are the Factors of 7284?

Answer: Factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284. There are 12 integers that are factors of 7284. The greatest factor of 7284 is 7284.

4. How to Find the LCM of 7276 and 7284?

Answer:

Least Common Multiple of 7276 and 7284 = 13249596

Step 1: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

Step 2: Find the prime factorization of 7284

7284 = 2 x 2 x 3 x 607

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

LCM = 13249596 = 2 x 2 x 3 x 17 x 107 x 607

Step 4: Therefore, the least common multiple of 7276 and 7284 is 13249596.