LCM for 360 and 585

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 360 and 585?

Answer

LCM of 360 and 585 is
4,680

(Four thousand six hundred eighty)

Finding LCM for 360 and 585 using GCF of these numbers

The first method to find LCM for numbers 360 and 585 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 360 and 585 is 45, so

LCM = (360 × 585) ÷ 45

LCM = 210,600 ÷ 45

LCM = 4,680

Finding LCM for 360 and 585 by Listing Multiples

The second method to find LCM for numbers 360 and 585 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 360: 360, 720, 1,080, 1,440, 1,800, 2,160, 2,520, 2,880, 3,240, 3,600, 3,960, 4,320, 4,680, 5,040, 5,400

Multiples of 585: 585, 1,170, 1,755, 2,340, 2,925, 3,510, 4,095, 4,680, 5,265, 5,850

So the LCM for 360 and 585 is 4,680

Finding LCM for 360 and 585 by Prime Factorization

Another method to find LCM for numbers 360 and 585 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

All Prime Factors of 585: 3, 3, 5, 13 (exponent form: 32, 51, 131)

23 × 32 × 51 × 131 = 4,680

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 360 and 585? (The answer is: 4,680). Select the first number (e.g. '360') and the second number (e.g. '585'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
3605706,840
360571205,560
36057251,480
36057368,760
360574103,320
36057541,400
3605762,880
360577207,720
360578104,040
36057969,480
36058010,440
360581209,160
36058234,920
360583209,880
36058426,280
3605854,680
360586105,480
360587211,320
36058817,640
360589212,040
36059021,240
36059170,920
36059226,640
360593213,480
36059411,880
36059542,840
36059653,640
36059771,640
360598107,640
360599215,640

FAQ

What's the Least Common Multiple (LCM) of 360 and 585?

LCM of 360 and 585 is 4,680

How to find the LCM of 360 and 585 using prime factorization?

To find the LCM of 360 and 585, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,680.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 360 and 585: LCM = 4,680, GCF = 45.

See Also