LCM for 3 and 17

What's the Least Common Multiple (LCM) of 3 and 17?

Answer: LCM of 3 and 17 is 51

(Fifty-one)

Finding LCM for 3 and 17 using GCF's of these numbers

The first method to find LCM for numbers 3 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 17 is 1, so

LCM = (3 × 17) ÷ 1

LCM = 51 ÷ 1

LCM = 51

Finding LCM for 3 and 17 by Listing Multiples

The second method to find LCM for numbers 3 and 17 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57

Multiples of 17: 17, 34, 51, 68, 85

So the LCM for 3 and 17 is 51

Finding LCM for 3 and 17 by Prime Factorization

Another method to find LCM for numbers 3 and 17 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 17: 17 (exponent form: 171)

31 × 171 = 51

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 3 and 17? (The answer is: 51). Select the first number (e.g. '3') and the second number (e.g. '17'). 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
117
21734
317
41768
517
617102
717
817136
917153
1017170
1117
1217
1317
1417
1517255
1617272
171717
1817306
1917323
2017340
2117357
2217374
2317391
2417408
2517425
2617442
2717459
2817476
2917493
3017510

FAQ

What's the Least Common Multiple (LCM) of 3 and 17?

LCM of 3 and 17 is 51