Least Common Multiple of 360 and 362

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 362 the smallest integer that is 65160 that is divisible by both numbers.

Least Common Multiple (LCM) of 360 and 362 is 65160.

LCM(360,362) = 65160

LCM of 360 and 362

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

LCM of:
and

Least Common Multiple of 360 and 362

LCM of 360 and 362 is 65160

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 362. First we will calculate the prime factors of 360 and 362.

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 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 360 and 362.

LCM(360,362) = 23×32×51×1811
LCM(360,362) = 65160

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 362

List of positive integer factors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Least Common Multiple of 360 and 362 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 362, than apply into the LCM equation.

GCF(360,362) = 2
LCM(360,362) = ( 360 × 362) / 2
LCM(360,362) = 130320 / 2
LCM(360,362) = 65160

Properties of LCM 360 and 362

(i) The LCM of 362 and 360 is associative

LCM of 360 and 362 = LCM of 362 and 360

Related Least Common Multiples of 360

Related Least Common Multiples of 362

Frequently Asked Questions on LCM of 360 and 362

1. What is the LCM of 360 and 362?

Answer: LCM of 360 and 362 is 65160.

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 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

4. How to Find the LCM of 360 and 362?

Answer:

Least Common Multiple of 360 and 362 = 65160

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 362

362 = 2 x 181

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

LCM = 65160 = 2 x 2 x 2 x 3 x 3 x 5 x 181

Step 4: Therefore, the least common multiple of 360 and 362 is 65160.