LCM for 6 and 14

What's the Least Common Multiple (LCM) of 6 and 14?

Answer: LCM of 6 and 14 is 42

(Forty-two)

Finding LCM for 6 and 14 using GCF's of these numbers

The first method to find LCM for numbers 6 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 14 is 2, so

LCM = (6 × 14) ÷ 2

LCM = 84 ÷ 2

LCM = 42

Finding LCM for 6 and 14 by Listing Multiples

The second method to find LCM for numbers 6 and 14 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54

Multiples of 14: 14, 28, 42, 56, 70

So the LCM for 6 and 14 is 42

Finding LCM for 6 and 14 by Prime Factorization

Another method to find LCM for numbers 6 and 14 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

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

21 × 31 × 71 = 42

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 6 and 14? (The answer is: 42). Select the first number (e.g. '6') and the second number (e.g. '14'). 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
11414
214
314
414
514
614
714
814
914
1014
1114
1214
1314
141414
1514210
1614112
1714238
1814
1914266
2014140
2114
2214154
2314322
2414168
2514350
2614182
2714378
281428
2914406
3014210

FAQ

What's the Least Common Multiple (LCM) of 6 and 14?

LCM of 6 and 14 is 42