Least Common Multiple of 7367 and 7372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7367 and 7372 the smallest integer that is 54309524 that is divisible by both numbers.

Least Common Multiple (LCM) of 7367 and 7372 is 54309524.

LCM(7367,7372) = 54309524

LCM of 7367 and 7372

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

LCM of:
and

Least Common Multiple of 7367 and 7372

LCM of 7367 and 7372 is 54309524

Least common multiple can be found by multiplying the highest exponent prime factors of 7367 and 7372. First we will calculate the prime factors of 7367 and 7372.

Prime Factorization of 7367


53 7367
139 139
1

Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:

7367 = 531×1391

Prime Factorization of 7372


2 7372
2 3686
19 1843
97 97
1

Prime factors of 7372 are 2, 19,97. Prime factorization of 7372 in exponential form is:

7372 = 22×191×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7367 and 7372.

LCM(7367,7372) = 22×191×531×971×1391
LCM(7367,7372) = 54309524

Factors of 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1, 53, 139, 7367

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372

Least Common Multiple of 7367 and 7372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7367 and 7372, than apply into the LCM equation.

GCF(7367,7372) = 1
LCM(7367,7372) = ( 7367 × 7372) / 1
LCM(7367,7372) = 54309524 / 1
LCM(7367,7372) = 54309524

Properties of LCM 7367 and 7372

(i) The LCM of 7372 and 7367 is associative

LCM of 7367 and 7372 = LCM of 7372 and 7367

Related Least Common Multiples of 7367

Related Least Common Multiples of 7372

Frequently Asked Questions on LCM of 7367 and 7372

1. What is the LCM of 7367 and 7372?

Answer: LCM of 7367 and 7372 is 54309524.

2. What are the Factors of 7367?

Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.

3. What are the Factors of 7372?

Answer: Factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372. There are 12 integers that are factors of 7372. The greatest factor of 7372 is 7372.

4. How to Find the LCM of 7367 and 7372?

Answer:

Least Common Multiple of 7367 and 7372 = 54309524

Step 1: Find the prime factorization of 7367

7367 = 53 x 139

Step 2: Find the prime factorization of 7372

7372 = 2 x 2 x 19 x 97

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

LCM = 54309524 = 2 x 2 x 19 x 53 x 97 x 139

Step 4: Therefore, the least common multiple of 7367 and 7372 is 54309524.