Least Common Multiple of 353 and 360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 353 and 360 the smallest integer that is 127080 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 360 is 127080.

LCM(353,360) = 127080

LCM of 353 and 360

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

LCM of:
and

Least Common Multiple of 353 and 360

LCM of 353 and 360 is 127080

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 360. First we will calculate the prime factors of 353 and 360.

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

Prime Factorization of 360


2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 360 are 2, 3,5. Prime factorization of 360 in exponential form is:

360 = 23×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 353 and 360.

LCM(353,360) = 23×32×51×3531
LCM(353,360) = 127080

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1, 353

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Least Common Multiple of 353 and 360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 353 and 360, than apply into the LCM equation.

GCF(353,360) = 1
LCM(353,360) = ( 353 × 360) / 1
LCM(353,360) = 127080 / 1
LCM(353,360) = 127080

Properties of LCM 353 and 360

(i) The LCM of 360 and 353 is associative

LCM of 353 and 360 = LCM of 360 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 360

Frequently Asked Questions on LCM of 353 and 360

1. What is the LCM of 353 and 360?

Answer: LCM of 353 and 360 is 127080.

2. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

3. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

4. How to Find the LCM of 353 and 360?

Answer:

Least Common Multiple of 353 and 360 = 127080

Step 1: Find the prime factorization of 353

353 = 353

Step 2: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 127080 = 2 x 2 x 2 x 3 x 3 x 5 x 353

Step 4: Therefore, the least common multiple of 353 and 360 is 127080.