LCM for 63 and 21
What's the Least Common Multiple (LCM) of 63 and 21?
Answer
(Sixty-three)
Finding LCM for 63 and 21 using GCF of these numbers
The first method to find LCM for numbers 63 and 21 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 63 and 21 is 21, so
LCM = (63 × 21) ÷ 21
LCM = 1,323 ÷ 21
LCM = 63
Finding LCM for 63 and 21 by Listing Multiples
The second method to find LCM for numbers 63 and 21 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 63: 63, 126, 189
Multiples of 21: 21, 42, 63, 84, 105
So the LCM for 63 and 21 is 63
Finding LCM for 63 and 21 by Prime Factorization
Another method to find LCM for numbers 63 and 21 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)
All Prime Factors of 21: 3, 7 (exponent form: 31, 71)
32 × 71 = 63
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
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
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 63 | 6 | 126 |
| 63 | 7 | 63 |
| 63 | 8 | 504 |
| 63 | 9 | 63 |
| 63 | 10 | 630 |
| 63 | 11 | 693 |
| 63 | 12 | 252 |
| 63 | 13 | 819 |
| 63 | 14 | 126 |
| 63 | 15 | 315 |
| 63 | 16 | 1,008 |
| 63 | 17 | 1,071 |
| 63 | 18 | 126 |
| 63 | 19 | 1,197 |
| 63 | 20 | 1,260 |
| 63 | 21 | 63 |
| 63 | 22 | 1,386 |
| 63 | 23 | 1,449 |
| 63 | 24 | 504 |
| 63 | 25 | 1,575 |
| 63 | 26 | 1,638 |
| 63 | 27 | 189 |
| 63 | 28 | 252 |
| 63 | 29 | 1,827 |
| 63 | 30 | 630 |
| 63 | 31 | 1,953 |
| 63 | 32 | 2,016 |
| 63 | 33 | 693 |
| 63 | 34 | 2,142 |
| 63 | 35 | 315 |
FAQ
What's the Least Common Multiple (LCM) of 63 and 21?
How to find the LCM of 63 and 21 using prime factorization?
What is the difference between LCM and GCF?
See Also
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