Least Common Multiple of 7376 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 7376 and 7380 the smallest integer that is 13608720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7376 and 7380 is 13608720.

LCM(7376,7380) = 13608720

LCM of 7376 and 7380

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

LCM of:
and

Least Common Multiple of 7376 and 7380

LCM of 7376 and 7380 is 13608720

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7380. First we will calculate the prime factors of 7376 and 7380.

Prime Factorization of 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

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 7376 and 7380.

LCM(7376,7380) = 24×32×51×411×4611
LCM(7376,7380) = 13608720

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

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 7376 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 7376 and 7380, than apply into the LCM equation.

GCF(7376,7380) = 4
LCM(7376,7380) = ( 7376 × 7380) / 4
LCM(7376,7380) = 54434880 / 4
LCM(7376,7380) = 13608720

Properties of LCM 7376 and 7380

(i) The LCM of 7380 and 7376 is associative

LCM of 7376 and 7380 = LCM of 7380 and 7376

Related Least Common Multiples of 7376

Related Least Common Multiples of 7380

Frequently Asked Questions on LCM of 7376 and 7380

1. What is the LCM of 7376 and 7380?

Answer: LCM of 7376 and 7380 is 13608720.

2. What are the Factors of 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

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 7376 and 7380?

Answer:

Least Common Multiple of 7376 and 7380 = 13608720

Step 1: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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 = 13608720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 41 x 461

Step 4: Therefore, the least common multiple of 7376 and 7380 is 13608720.