LCM for 8 and 33

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 33?

Answer

LCM of 8 and 33 is 264

(Two hundred sixty-four)

Finding LCM for 8 and 33 using GCF of these numbers

The first method to find LCM for numbers 8 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 33 is 1, so

LCM = (8 × 33) ÷ 1

LCM = 264 ÷ 1

LCM = 264

Finding LCM for 8 and 33 by Listing Multiples

The second method to find LCM for numbers 8 and 33 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280

Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330

So the LCM for 8 and 33 is 264

Finding LCM for 8 and 33 by Prime Factorization

Another method to find LCM for numbers 8 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 33: 3, 11 (exponent form: 31, 111)

23 × 31 × 111 = 264

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 8 and 33? (The answer is: 264). Select the first number (e.g. '8') and the second number (e.g. '33'). 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
13333
23366
33333
433132
533165
63366
733231
833264
93399
1033330
113333
1233132
1333429
1433462
1533165
1633528
1733561
1833198
1933627
2033660
2133231
223366
2333759
2433264
2533825
2633858
2733297
2833924
2933957
3033330

FAQ

What's the Least Common Multiple (LCM) of 8 and 33?

LCM of 8 and 33 is 264

How to find the LCM of 8 and 33 using prime factorization?

To find the LCM of 8 and 33, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 264.

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 8 and 33: LCM = 264, GCF = 1.

See Also