Least Common Multiple of 7327 and 7332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7327 and 7332 the smallest integer that is 53721564 that is divisible by both numbers.

Least Common Multiple (LCM) of 7327 and 7332 is 53721564.

LCM(7327,7332) = 53721564

LCM of 7327 and 7332

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

LCM of:
and

Least Common Multiple of 7327 and 7332

LCM of 7327 and 7332 is 53721564

Least common multiple can be found by multiplying the highest exponent prime factors of 7327 and 7332. First we will calculate the prime factors of 7327 and 7332.

Prime Factorization of 7327


17 7327
431 431
1

Prime factors of 7327 are 17,431. Prime factorization of 7327 in exponential form is:

7327 = 171×4311

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2, 3, 13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7327 and 7332.

LCM(7327,7332) = 22×31×131×171×471×4311
LCM(7327,7332) = 53721564

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1, 17, 431, 7327

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332

Least Common Multiple of 7327 and 7332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7327 and 7332, than apply into the LCM equation.

GCF(7327,7332) = 1
LCM(7327,7332) = ( 7327 × 7332) / 1
LCM(7327,7332) = 53721564 / 1
LCM(7327,7332) = 53721564

Properties of LCM 7327 and 7332

(i) The LCM of 7332 and 7327 is associative

LCM of 7327 and 7332 = LCM of 7332 and 7327

Related Least Common Multiples of 7327

Related Least Common Multiples of 7332

Frequently Asked Questions on LCM of 7327 and 7332

1. What is the LCM of 7327 and 7332?

Answer: LCM of 7327 and 7332 is 53721564.

2. What are the Factors of 7327?

Answer: Factors of 7327 are 1, 17, 431, 7327. There are 4 integers that are factors of 7327. The greatest factor of 7327 is 7327.

3. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

4. How to Find the LCM of 7327 and 7332?

Answer:

Least Common Multiple of 7327 and 7332 = 53721564

Step 1: Find the prime factorization of 7327

7327 = 17 x 431

Step 2: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

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

LCM = 53721564 = 2 x 2 x 3 x 13 x 17 x 47 x 431

Step 4: Therefore, the least common multiple of 7327 and 7332 is 53721564.