LCM for 14 and 217

What's the Least Common Multiple (LCM) of 14 and 217?

Answer: LCM of 14 and 217 is 434

(Four hundred thirty-four)

Finding LCM for 14 and 217 using GCF's of these numbers

The first method to find LCM for numbers 14 and 217 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 14 and 217 is 7, so

LCM = (14 × 217) ÷ 7

LCM = 3038 ÷ 7

LCM = 434

Finding LCM for 14 and 217 by Listing Multiples

The second method to find LCM for numbers 14 and 217 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462

Multiples of 217: 217, 434, 651, 868

So the LCM for 14 and 217 is 434

Finding LCM for 14 and 217 by Prime Factorization

Another method to find LCM for numbers 14 and 217 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 14: 2, 7 (exponent form: 21, 71)

All Prime Factors of 217: 7, 31 (exponent form: 71, 311)

21 × 71 × 311 = 434

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 14 and 217? (The answer is: 434). Select the first number (e.g. '14') and the second number (e.g. '217'). 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
1217217
2217434
3217651
4217868
52171085
62171302
7217217
82171736
92171953
102172170
112172387
122172604
132172821
14217
152173255
162173472
172173689
182173906
192174123
202174340
21217651
222174774
232174991
242175208
252175425
262175642
272175859
28217868
292176293
302176510

FAQ

What's the Least Common Multiple (LCM) of 14 and 217?

LCM of 14 and 217 is 434