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 |
|---|---|
| 152 and 120 | 2280 |
| 163 and 10 | 1630 |
| 108 and 54 | 108 |
| 28 and 112 | 112 |
| 111 and 87 | 3219 |