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LCM for 3 and 11

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 3 and 11?

Answer

LCM of 3 and 11 is 33

(Thirty-three)

Finding LCM for 3 and 11 using GCF of these numbers

The first method to find LCM for numbers 3 and 11 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 11 is 1, so

LCM = (3 × 11) ÷ 1

LCM = 33 ÷ 1

LCM = 33

Finding LCM for 3 and 11 by Listing Multiples

The second method to find LCM for numbers 3 and 11 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39

Multiples of 11: 11, 22, 33, 44, 55

So the LCM for 3 and 11 is 33

Finding LCM for 3 and 11 by Prime Factorization

Another method to find LCM for numbers 3 and 11 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 3: 3 (exponent form: 31)

All Prime Factors of 11: 11 (exponent form: 111)

31 × 111 = 33

Related Calculations

See Also

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What is the LCM of 3 and 11?. Find the LCM of 3 and 11 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
11111
21122
31133
41144
51155
61166
71177
81188
91199
1011110
111111
1211132
1311143
1411154
1511165
1611176
1711187
1811198
1911209
2011220
2111231
221122
2311253
2411264
2511275
2611286
2711297
2811308
2911319
3011330

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 3 and 11? (The answer is: 33). Select the first number (e.g. '3') and the second number (e.g. '11'). 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 3 and 11?

LCM of 3 and 11 is 33

How to find the LCM of 3 and 11 using prime factorization?

To find the LCM of 3 and 11, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 33.

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 3 and 11: LCM = 33, GCF = 1.

See Also