LCM for 21 and 196
What's the Least Common Multiple (LCM) of 21 and 196?
(Five hundred eighty-eight)
Finding LCM for 21 and 196 using GCF's of these numbers
The first method to find LCM for numbers 21 and 196 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 21 and 196 is 7, so
LCM = (21 × 196) ÷ 7
LCM = 4116 ÷ 7
LCM = 588
Finding LCM for 21 and 196 by Listing Multiples
The second method to find LCM for numbers 21 and 196 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630
Multiples of 196: 196, 392, 588, 784, 980
So the LCM for 21 and 196 is 588
Finding LCM for 21 and 196 by Prime Factorization
Another method to find LCM for numbers 21 and 196 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 196: 2, 2, 7, 7 (exponent form: 22, 72)
31 × 72 × 22 = 588
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/21--196">What is the LCM of 21 and 196? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 6 | 196 | 588 |
| 7 | 196 | 196 |
| 8 | 196 | 392 |
| 9 | 196 | 1764 |
| 10 | 196 | 980 |
| 11 | 196 | 2156 |
| 12 | 196 | 588 |
| 13 | 196 | 2548 |
| 14 | 196 | 196 |
| 15 | 196 | 2940 |
| 16 | 196 | 784 |
| 17 | 196 | 3332 |
| 18 | 196 | 1764 |
| 19 | 196 | 3724 |
| 20 | 196 | 980 |
| 21 | 196 | 588 |
| 22 | 196 | 2156 |
| 23 | 196 | 4508 |
| 24 | 196 | 1176 |
| 25 | 196 | 4900 |
| 26 | 196 | 2548 |
| 27 | 196 | 5292 |
| 28 | 196 | 196 |
| 29 | 196 | 5684 |
| 30 | 196 | 2940 |
| 31 | 196 | 6076 |
| 32 | 196 | 1568 |
| 33 | 196 | 6468 |
| 34 | 196 | 3332 |
| 35 | 196 | 980 |
About "Least Common Multiple" Calculator
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