Least Common Multiple (LCM) of 196 and 62
The least common multiple (LCM) of 196 and 62 is 6076.
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 196 and 62?
First, calculate the GCD of 196 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 62 = 3 remainder 10 |
| 2 | 62 ÷ 10 = 6 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 30 | 5610 |
| 132 and 163 | 21516 |
| 48 and 104 | 624 |
| 102 and 53 | 5406 |
| 23 and 112 | 2576 |