Least Common Multiple of 360 and 368

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 368 the smallest integer that is 16560 that is divisible by both numbers.

Least Common Multiple (LCM) of 360 and 368 is 16560.

LCM(360,368) = 16560

LCM of 360 and 368

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

LCM of:
and

Least Common Multiple of 360 and 368

LCM of 360 and 368 is 16560

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 368. First we will calculate the prime factors of 360 and 368.

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 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Now multiplying the highest exponent prime factors to calculate the LCM of 360 and 368.

LCM(360,368) = 24×32×51×231
LCM(360,368) = 16560

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 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Least Common Multiple of 360 and 368 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 368, than apply into the LCM equation.

GCF(360,368) = 8
LCM(360,368) = ( 360 × 368) / 8
LCM(360,368) = 132480 / 8
LCM(360,368) = 16560

Properties of LCM 360 and 368

(i) The LCM of 368 and 360 is associative

LCM of 360 and 368 = LCM of 368 and 360

Related Least Common Multiples of 360

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 360 and 368

1. What is the LCM of 360 and 368?

Answer: LCM of 360 and 368 is 16560.

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 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. How to Find the LCM of 360 and 368?

Answer:

Least Common Multiple of 360 and 368 = 16560

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 368

368 = 2 x 2 x 2 x 2 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 = 16560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23

Step 4: Therefore, the least common multiple of 360 and 368 is 16560.