LCM for 20 and 33

What's the Least Common Multiple (LCM) of 20 and 33?

Answer: LCM of 20 and 33 is 660

(Six hundred sixty)

Finding LCM for 20 and 33 using GCF's of these numbers

The first method to find LCM for numbers 20 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 33 is 1, so

LCM = (20 × 33) ÷ 1

LCM = 660 ÷ 1

LCM = 660

Finding LCM for 20 and 33 by Listing Multiples

The second method to find LCM for numbers 20 and 33 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700

Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726

So the LCM for 20 and 33 is 660

Finding LCM for 20 and 33 by Prime Factorization

Another method to find LCM for numbers 20 and 33 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

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

22 × 51 × 31 × 111 = 660

See Also

LCM Table

Number 1Number 2LCM
533
63366
733231
833264
933
1033330
1133
1233132
1333429
1433462
1533
1633528
1733561
1833
1933627
2033
2133
2233
2333759
2433264
2533825
2633858
2733297
2833924
2933957
3033330
31331023
32331056
333333
34331122

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 20 and 33? (The answer is: 660). Select the first number (e.g. '20') 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

FAQ

What's the Least Common Multiple (LCM) of 20 and 33?

LCM of 20 and 33 is 660