LCM for 21 and 14

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 14?

Answer

LCM of 21 and 14 is 42

(Forty-two)

Finding LCM for 21 and 14 using GCF of these numbers

The first method to find LCM for numbers 21 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 14 is 7, so

LCM = (21 × 14) ÷ 7

LCM = 294 ÷ 7

LCM = 42

Finding LCM for 21 and 14 by Listing Multiples

The second method to find LCM for numbers 21 and 14 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 21: 21, 42, 63, 84

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

So the LCM for 21 and 14 is 42

Finding LCM for 21 and 14 by Prime Factorization

Another method to find LCM for numbers 21 and 14 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

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

31 × 71 × 21 = 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 21 and 14? (The answer is: 42). Select the first number (e.g. '21') 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
61442
71414
81456
914126
101470
1114154
121484
1314182
141414
1514210
1614112
1714238
1814126
1914266
2014140
211442
2214154
2314322
2414168
2514350
2614182
2714378
281428
2914406
3014210
3114434
3214224
3314462
3414238
351470

FAQ

What's the Least Common Multiple (LCM) of 21 and 14?

LCM of 21 and 14 is 42

How to find the LCM of 21 and 14 using prime factorization?

To find the LCM of 21 and 14, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 42.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 21 and 14: LCM = 42, GCF = 7.

See Also