Least Common Multiple of 355 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 355 and 360 the smallest integer that is 25560 that is divisible by both numbers.

Least Common Multiple (LCM) of 355 and 360 is 25560.

LCM(355,360) = 25560

LCM of 355 and 360

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

LCM of:
and

Least Common Multiple of 355 and 360

LCM of 355 and 360 is 25560

Least common multiple can be found by multiplying the highest exponent prime factors of 355 and 360. First we will calculate the prime factors of 355 and 360.

Prime Factorization of 355


5 355
71 71
1

Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:

355 = 51×711

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 355 and 360.

LCM(355,360) = 23×32×51×711
LCM(355,360) = 25560

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 355 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 355 and 360, than apply into the LCM equation.

GCF(355,360) = 5
LCM(355,360) = ( 355 × 360) / 5
LCM(355,360) = 127800 / 5
LCM(355,360) = 25560

Properties of LCM 355 and 360

(i) The LCM of 360 and 355 is associative

LCM of 355 and 360 = LCM of 360 and 355

Related Least Common Multiples of 355

Related Least Common Multiples of 360

Frequently Asked Questions on LCM of 355 and 360

1. What is the LCM of 355 and 360?

Answer: LCM of 355 and 360 is 25560.

2. What are the Factors of 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

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 355 and 360?

Answer:

Least Common Multiple of 355 and 360 = 25560

Step 1: Find the prime factorization of 355

355 = 5 x 71

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 = 25560 = 2 x 2 x 2 x 3 x 3 x 5 x 71

Step 4: Therefore, the least common multiple of 355 and 360 is 25560.