Least Common Multiple of 7358 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 7358 and 7360 the smallest integer that is 27077440 that is divisible by both numbers.

Least Common Multiple (LCM) of 7358 and 7360 is 27077440.

LCM(7358,7360) = 27077440

LCM of 7358 and 7360

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

LCM of:
and

Least Common Multiple of 7358 and 7360

LCM of 7358 and 7360 is 27077440

Least common multiple can be found by multiplying the highest exponent prime factors of 7358 and 7360. First we will calculate the prime factors of 7358 and 7360.

Prime Factorization of 7358


2 7358
13 3679
283 283
1

Prime factors of 7358 are 2, 13,283. Prime factorization of 7358 in exponential form is:

7358 = 21×131×2831

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 7358 and 7360.

LCM(7358,7360) = 26×51×131×231×2831
LCM(7358,7360) = 27077440

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1, 2, 13, 26, 283, 566, 3679, 7358

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 7358 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 7358 and 7360, than apply into the LCM equation.

GCF(7358,7360) = 2
LCM(7358,7360) = ( 7358 × 7360) / 2
LCM(7358,7360) = 54154880 / 2
LCM(7358,7360) = 27077440

Properties of LCM 7358 and 7360

(i) The LCM of 7360 and 7358 is associative

LCM of 7358 and 7360 = LCM of 7360 and 7358

Related Least Common Multiples of 7358

Related Least Common Multiples of 7360

Frequently Asked Questions on LCM of 7358 and 7360

1. What is the LCM of 7358 and 7360?

Answer: LCM of 7358 and 7360 is 27077440.

2. What are the Factors of 7358?

Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.

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 7358 and 7360?

Answer:

Least Common Multiple of 7358 and 7360 = 27077440

Step 1: Find the prime factorization of 7358

7358 = 2 x 13 x 283

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 = 27077440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 23 x 283

Step 4: Therefore, the least common multiple of 7358 and 7360 is 27077440.