Least Common Multiple of 7355 and 7360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7355 and 7360 the smallest integer that is 10826560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7355 and 7360 is 10826560.

LCM(7355,7360) = 10826560

LCM of 7355 and 7360

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

LCM of:
and

Least Common Multiple of 7355 and 7360

LCM of 7355 and 7360 is 10826560

Least common multiple can be found by multiplying the highest exponent prime factors of 7355 and 7360. First we will calculate the prime factors of 7355 and 7360.

Prime Factorization of 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

Prime Factorization of 7360


2 7360
2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 7360 are 2, 5,23. Prime factorization of 7360 in exponential form is:

7360 = 26×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7355 and 7360.

LCM(7355,7360) = 26×51×231×14711
LCM(7355,7360) = 10826560

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1, 5, 1471, 7355

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360

Least Common Multiple of 7355 and 7360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7355 and 7360, than apply into the LCM equation.

GCF(7355,7360) = 5
LCM(7355,7360) = ( 7355 × 7360) / 5
LCM(7355,7360) = 54132800 / 5
LCM(7355,7360) = 10826560

Properties of LCM 7355 and 7360

(i) The LCM of 7360 and 7355 is associative

LCM of 7355 and 7360 = LCM of 7360 and 7355

Related Least Common Multiples of 7355

Related Least Common Multiples of 7360

Frequently Asked Questions on LCM of 7355 and 7360

1. What is the LCM of 7355 and 7360?

Answer: LCM of 7355 and 7360 is 10826560.

2. What are the Factors of 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

3. What are the Factors of 7360?

Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.

4. How to Find the LCM of 7355 and 7360?

Answer:

Least Common Multiple of 7355 and 7360 = 10826560

Step 1: Find the prime factorization of 7355

7355 = 5 x 1471

Step 2: Find the prime factorization of 7360

7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23

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

LCM = 10826560 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 1471

Step 4: Therefore, the least common multiple of 7355 and 7360 is 10826560.