Least Common Multiple of 358 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 358 and 360 the smallest integer that is 64440 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 360 is 64440.

LCM(358,360) = 64440

LCM of 358 and 360

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

LCM of:
and

Least Common Multiple of 358 and 360

LCM of 358 and 360 is 64440

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 360. First we will calculate the prime factors of 358 and 360.

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

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 358 and 360.

LCM(358,360) = 23×32×51×1791
LCM(358,360) = 64440

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

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 358 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 358 and 360, than apply into the LCM equation.

GCF(358,360) = 2
LCM(358,360) = ( 358 × 360) / 2
LCM(358,360) = 128880 / 2
LCM(358,360) = 64440

Properties of LCM 358 and 360

(i) The LCM of 360 and 358 is associative

LCM of 358 and 360 = LCM of 360 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 360

Frequently Asked Questions on LCM of 358 and 360

1. What is the LCM of 358 and 360?

Answer: LCM of 358 and 360 is 64440.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

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 358 and 360?

Answer:

Least Common Multiple of 358 and 360 = 64440

Step 1: Find the prime factorization of 358

358 = 2 x 179

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 = 64440 = 2 x 2 x 2 x 3 x 3 x 5 x 179

Step 4: Therefore, the least common multiple of 358 and 360 is 64440.