Least Common Multiple of 7372 and 7380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7372 and 7380 the smallest integer that is 13601340 that is divisible by both numbers.

Least Common Multiple (LCM) of 7372 and 7380 is 13601340.

LCM(7372,7380) = 13601340

LCM of 7372 and 7380

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

LCM of:
and

Least Common Multiple of 7372 and 7380

LCM of 7372 and 7380 is 13601340

Least common multiple can be found by multiplying the highest exponent prime factors of 7372 and 7380. First we will calculate the prime factors of 7372 and 7380.

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

Prime Factorization of 7380


2 7380
2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 7380 are 2, 3, 5,41. Prime factorization of 7380 in exponential form is:

7380 = 22×32×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7372 and 7380.

LCM(7372,7380) = 22×32×51×191×411×971
LCM(7372,7380) = 13601340

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

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380

Least Common Multiple of 7372 and 7380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7372 and 7380, than apply into the LCM equation.

GCF(7372,7380) = 4
LCM(7372,7380) = ( 7372 × 7380) / 4
LCM(7372,7380) = 54405360 / 4
LCM(7372,7380) = 13601340

Properties of LCM 7372 and 7380

(i) The LCM of 7380 and 7372 is associative

LCM of 7372 and 7380 = LCM of 7380 and 7372

Related Least Common Multiples of 7372

Related Least Common Multiples of 7380

Frequently Asked Questions on LCM of 7372 and 7380

1. What is the LCM of 7372 and 7380?

Answer: LCM of 7372 and 7380 is 13601340.

2. 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.

3. What are the Factors of 7380?

Answer: Factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380. There are 36 integers that are factors of 7380. The greatest factor of 7380 is 7380.

4. How to Find the LCM of 7372 and 7380?

Answer:

Least Common Multiple of 7372 and 7380 = 13601340

Step 1: Find the prime factorization of 7372

7372 = 2 x 2 x 19 x 97

Step 2: Find the prime factorization of 7380

7380 = 2 x 2 x 3 x 3 x 5 x 41

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

LCM = 13601340 = 2 x 2 x 3 x 3 x 5 x 19 x 41 x 97

Step 4: Therefore, the least common multiple of 7372 and 7380 is 13601340.