LCM for 16 and 17

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 16 and 17?

Answer: LCM of 16 and 17 is 272

(Two hundred seventy-two)

Finding LCM for 16 and 17 using GCF's of these numbers

The first method to find LCM for numbers 16 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 17 is 1, so

LCM = (16 × 17) ÷ 1

LCM = 272 ÷ 1

LCM = 272

Finding LCM for 16 and 17 by Listing Multiples

The second method to find LCM for numbers 16 and 17 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306

So the LCM for 16 and 17 is 272

Finding LCM for 16 and 17 by Prime Factorization

Another method to find LCM for numbers 16 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

All Prime Factors of 17: 17 (exponent form: 171)

24 × 171 = 272

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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 16 and 17? (The answer is: 272). Select the first number (e.g. '16') 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
11717
21734
31751
41768
51785
617102
717119
817136
917153
1017170
1117187
1217204
1317221
1417238
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 16 and 17?

LCM of 16 and 17 is 272

See Also