LCM for 180 and 330

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What's the Least Common Multiple (LCM) of 180 and 330?

Answer

LCM of 180 and 330 is
1,980

(One thousand nine hundred eighty)

Finding LCM for 180 and 330 using GCF of these numbers

The first method to find LCM for numbers 180 and 330 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 330 is 30, so

LCM = (180 × 330) ÷ 30

LCM = 59,400 ÷ 30

LCM = 1,980

Finding LCM for 180 and 330 by Listing Multiples

The second method to find LCM for numbers 180 and 330 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, 2,340

Multiples of 330: 330, 660, 990, 1,320, 1,650, 1,980, 2,310, 2,640

So the LCM for 180 and 330 is 1,980

Finding LCM for 180 and 330 by Prime Factorization

Another method to find LCM for numbers 180 and 330 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 330: 2, 3, 5, 11 (exponent form: 21, 31, 51, 111)

22 × 32 × 51 × 111 = 1,980

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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 330? (The answer is: 1,980). Select the first number (e.g. '180') and the second number (e.g. '330'). 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
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LCM Table

Number 1Number 2LCM
1803151,260
18031614,220
18031757,060
1803189,540
18031957,420
1803202,880
18032119,260
18032228,980
18032358,140
1803241,620
18032511,700
18032629,340
18032719,620
18032814,760
18032959,220
1803301,980
18033159,580
18033214,940
1803336,660
18033430,060
18033512,060
1803365,040
18033760,660
18033830,420
18033920,340
1803403,060
18034161,380
1803423,420
18034361,740
18034415,480

FAQ

What's the Least Common Multiple (LCM) of 180 and 330?

LCM of 180 and 330 is 1,980

How to find the LCM of 180 and 330 using prime factorization?

To find the LCM of 180 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

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 330: LCM = 1,980, GCF = 30.

See Also