Least Common Multiple (LCM) of 21 and 62
The least common multiple (LCM) of 21 and 62 is 1302.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 21 and 62?
First, calculate the GCD of 21 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 62 = 0 remainder 21 |
| 2 | 62 ÷ 21 = 2 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 29 | 609 |
| 99 and 181 | 17919 |
| 24 and 62 | 744 |
| 123 and 173 | 21279 |
| 10 and 12 | 60 |