Least Common Multiple of 7366 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 7366 and 7372 the smallest integer that is 27151076 that is divisible by both numbers.

Least Common Multiple (LCM) of 7366 and 7372 is 27151076.

LCM(7366,7372) = 27151076

LCM of 7366 and 7372

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

LCM of:
and

Least Common Multiple of 7366 and 7372

LCM of 7366 and 7372 is 27151076

Least common multiple can be found by multiplying the highest exponent prime factors of 7366 and 7372. First we will calculate the prime factors of 7366 and 7372.

Prime Factorization of 7366


2 7366
29 3683
127 127
1

Prime factors of 7366 are 2, 29,127. Prime factorization of 7366 in exponential form is:

7366 = 21×291×1271

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 7366 and 7372.

LCM(7366,7372) = 22×191×291×971×1271
LCM(7366,7372) = 27151076

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1, 2, 29, 58, 127, 254, 3683, 7366

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 7366 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 7366 and 7372, than apply into the LCM equation.

GCF(7366,7372) = 2
LCM(7366,7372) = ( 7366 × 7372) / 2
LCM(7366,7372) = 54302152 / 2
LCM(7366,7372) = 27151076

Properties of LCM 7366 and 7372

(i) The LCM of 7372 and 7366 is associative

LCM of 7366 and 7372 = LCM of 7372 and 7366

Related Least Common Multiples of 7366

Related Least Common Multiples of 7372

Frequently Asked Questions on LCM of 7366 and 7372

1. What is the LCM of 7366 and 7372?

Answer: LCM of 7366 and 7372 is 27151076.

2. What are the Factors of 7366?

Answer: Factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366. There are 8 integers that are factors of 7366. The greatest factor of 7366 is 7366.

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 7366 and 7372?

Answer:

Least Common Multiple of 7366 and 7372 = 27151076

Step 1: Find the prime factorization of 7366

7366 = 2 x 29 x 127

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 = 27151076 = 2 x 2 x 19 x 29 x 97 x 127

Step 4: Therefore, the least common multiple of 7366 and 7372 is 27151076.