Least Common Multiple of 359 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 359 and 360 the smallest integer that is 129240 that is divisible by both numbers.

Least Common Multiple (LCM) of 359 and 360 is 129240.

LCM(359,360) = 129240

LCM of 359 and 360

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

LCM of:
and

Least Common Multiple of 359 and 360

LCM of 359 and 360 is 129240

Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 360. First we will calculate the prime factors of 359 and 360.

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

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 359 and 360.

LCM(359,360) = 23×32×51×3591
LCM(359,360) = 129240

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

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 359 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 359 and 360, than apply into the LCM equation.

GCF(359,360) = 1
LCM(359,360) = ( 359 × 360) / 1
LCM(359,360) = 129240 / 1
LCM(359,360) = 129240

Properties of LCM 359 and 360

(i) The LCM of 360 and 359 is associative

LCM of 359 and 360 = LCM of 360 and 359

Related Least Common Multiples of 359

Related Least Common Multiples of 360

Frequently Asked Questions on LCM of 359 and 360

1. What is the LCM of 359 and 360?

Answer: LCM of 359 and 360 is 129240.

2. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

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 359 and 360?

Answer:

Least Common Multiple of 359 and 360 = 129240

Step 1: Find the prime factorization of 359

359 = 359

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 = 129240 = 2 x 2 x 2 x 3 x 3 x 5 x 359

Step 4: Therefore, the least common multiple of 359 and 360 is 129240.