LCM for 180 and 600

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What's the Least Common Multiple (LCM) of 180 and 600?

Answer

LCM of 180 and 600 is
1,800

(One thousand eight hundred)

Finding LCM for 180 and 600 using GCF of these numbers

The first method to find LCM for numbers 180 and 600 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 600 is 60, so

LCM = (180 × 600) ÷ 60

LCM = 108,000 ÷ 60

LCM = 1,800

Finding LCM for 180 and 600 by Listing Multiples

The second method to find LCM for numbers 180 and 600 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620, 1,800, 1,980, 2,160

Multiples of 600: 600, 1,200, 1,800, 2,400, 3,000

So the LCM for 180 and 600 is 1,800

Finding LCM for 180 and 600 by Prime Factorization

Another method to find LCM for numbers 180 and 600 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 600: 2, 2, 2, 3, 5, 5 (exponent form: 23, 31, 52)

23 × 32 × 52 = 1,800

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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 180 and 600? (The answer is: 1,800). Select the first number (e.g. '180') and the second number (e.g. '600'). 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
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LCM Table

Number 1Number 2LCM
1805852,340
18058652,740
180587105,660
1805888,820
180589106,020
18059010,620
18059135,460
18059226,640
180593106,740
1805945,940
18059521,420
18059626,820
18059735,820
18059853,820
180599107,820
1806001,800
180601108,180
18060254,180
18060312,060
18060427,180
18060521,780
18060618,180
180607109,260
18060827,360
18060936,540
18061010,980
180611109,980
1806123,060
180613110,340
18061455,260

FAQ

What's the Least Common Multiple (LCM) of 180 and 600?

LCM of 180 and 600 is 1,800

How to find the LCM of 180 and 600 using prime factorization?

To find the LCM of 180 and 600, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

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 180 and 600: LCM = 1,800, GCF = 60.

See Also