Least Common Multiple of 360 and 367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 360 and 367 the smallest integer that is 132120 that is divisible by both numbers.

Least Common Multiple (LCM) of 360 and 367 is 132120.

LCM(360,367) = 132120

LCM of 360 and 367

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

LCM of:
and

Least Common Multiple of 360 and 367

LCM of 360 and 367 is 132120

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 367. First we will calculate the prime factors of 360 and 367.

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

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 360 and 367.

LCM(360,367) = 23×32×51×3671
LCM(360,367) = 132120

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

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

Least Common Multiple of 360 and 367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 360 and 367, than apply into the LCM equation.

GCF(360,367) = 1
LCM(360,367) = ( 360 × 367) / 1
LCM(360,367) = 132120 / 1
LCM(360,367) = 132120

Properties of LCM 360 and 367

(i) The LCM of 367 and 360 is associative

LCM of 360 and 367 = LCM of 367 and 360

Related Least Common Multiples of 360

Related Least Common Multiples of 367

Frequently Asked Questions on LCM of 360 and 367

1. What is the LCM of 360 and 367?

Answer: LCM of 360 and 367 is 132120.

2. 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.

3. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

4. How to Find the LCM of 360 and 367?

Answer:

Least Common Multiple of 360 and 367 = 132120

Step 1: Find the prime factorization of 360

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

Step 2: Find the prime factorization of 367

367 = 367

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

LCM = 132120 = 2 x 2 x 2 x 3 x 3 x 5 x 367

Step 4: Therefore, the least common multiple of 360 and 367 is 132120.