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LCM for 30 and 335

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 335?

Answer

LCM of 30 and 335 is 2,010

(Two thousand, ten)

Finding LCM for 30 and 335 using GCF of these numbers

The first method to find LCM for numbers 30 and 335 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 335 is 5, so

LCM = (30 × 335) ÷ 5

LCM = 10050 ÷ 5

LCM = 2010

Finding LCM for 30 and 335 by Listing Multiples

The second method to find LCM for numbers 30 and 335 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070

Multiples of 335: 335, 670, 1005, 1340, 1675, 2010, 2345, 2680

So the LCM for 30 and 335 is 2010

Finding LCM for 30 and 335 by Prime Factorization

Another method to find LCM for numbers 30 and 335 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

All Prime Factors of 335: 5, 67 (exponent form: 51, 671)

21 × 31 × 51 × 671 = 2010

See Also

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What is the LCM of 30 and 335?. Find the LCM of 30 and 335 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
153351005
163355360
173355695
183356030
193356365
203351340
213357035
223357370
233357705
243358040
253351675
263358710
273359045
283359380
293359715
303352010
3133510385
3233510720
3333511055
3433511390
353352345
3633512060
3733512395
3833512730
3933513065
403352680
4133513735
4233514070
4333514405
4433514740

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 30 and 335? (The answer is: 2010). Select the first number (e.g. '30') and the second number (e.g. '335'). 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

FAQ

What's the Least Common Multiple (LCM) of 30 and 335?

LCM of 30 and 335 is 2,010

How to find the LCM of 30 and 335 using prime factorization?

To find the LCM of 30 and 335, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,010.

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 30 and 335: LCM = 2,010, GCF = 5.

See Also