Least Common Multiple (LCM) of 196 and 60
The least common multiple (LCM) of 196 and 60 is 2940.
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 60?
First, calculate the GCD of 196 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 60 = 3 remainder 16 |
| 2 | 60 ÷ 16 = 3 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 102 | 15810 |
| 188 and 100 | 4700 |
| 141 and 150 | 7050 |
| 176 and 177 | 31152 |
| 51 and 49 | 2499 |