LCM for 16 and 84

What's the Least Common Multiple (LCM) of 16 and 84?

Answer: LCM of 16 and 84 is 336

(Three hundred thirty-six)

Finding LCM for 16 and 84 using GCF's of these numbers

The first method to find LCM for numbers 16 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 84 is 4, so

LCM = (16 × 84) ÷ 4

LCM = 1344 ÷ 4

LCM = 336

Finding LCM for 16 and 84 by Listing Multiples

The second method to find LCM for numbers 16 and 84 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, 320, 336, 352, 368

Multiples of 84: 84, 168, 252, 336, 420, 504

So the LCM for 16 and 84 is 336

Finding LCM for 16 and 84 by Prime Factorization

Another method to find LCM for numbers 16 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

24 × 31 × 71 = 336

LCM Table

Number 1Number 2LCM
18484
28484
38484
48484
584420
68484
78484
884168
984252
1084420
1184924
128484
13841092
148484
1584420
1684
17841428
1884252
19841596
2084420
218484
2284924
23841932
2484
25842100
26841092
2784756
288484
29842436
3084

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 84? (The answer is: 336). Select the first number (e.g. '16') and the second number (e.g. '84'). 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 16 and 84?

LCM of 16 and 84 is 336