Least Common Multiple (LCM) of 62 and 108
The least common multiple (LCM) of 62 and 108 is 3348.
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 62 and 108?
First, calculate the GCD of 62 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 108 = 0 remainder 62 |
| 2 | 108 ÷ 62 = 1 remainder 46 |
| 3 | 62 ÷ 46 = 1 remainder 16 |
| 4 | 46 ÷ 16 = 2 remainder 14 |
| 5 | 16 ÷ 14 = 1 remainder 2 |
| 6 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 63 | 693 |
| 189 and 89 | 16821 |
| 171 and 50 | 8550 |
| 131 and 180 | 23580 |
| 77 and 75 | 5775 |