LCM for 20 and 67

What's the Least Common Multiple (LCM) of 20 and 67?

Answer: LCM of 20 and 67 is 1,340

(One thousand, three hundred forty)

Finding LCM for 20 and 67 using GCF's of these numbers

The first method to find LCM for numbers 20 and 67 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 67 is 1, so

LCM = (20 × 67) ÷ 1

LCM = 1340 ÷ 1

LCM = 1340

Finding LCM for 20 and 67 by Listing Multiples

The second method to find LCM for numbers 20 and 67 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, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220, 1240, 1260, 1280, 1300, 1320, 1340, 1360, 1380

Multiples of 67: 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474

So the LCM for 20 and 67 is 1340

Finding LCM for 20 and 67 by Prime Factorization

Another method to find LCM for numbers 20 and 67 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 67: 67 (exponent form: 671)

22 × 51 × 671 = 1340

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 20 and 67? (The answer is: 1340). Select the first number (e.g. '20') and the second number (e.g. '67'). 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

LCM Table

Number 1Number 2LCM
567335
667402
767469
867536
967603
1067670
1167737
1267804
1367871
1467938
15671005
16671072
17671139
18671206
19671273
2067
21671407
22671474
23671541
24671608
25671675
26671742
27671809
28671876
29671943
30672010
31672077
32672144
33672211
34672278

FAQ

What's the Least Common Multiple (LCM) of 20 and 67?

LCM of 20 and 67 is 1,340