Least Common Multiple (LCM) of 60 and 196
The least common multiple (LCM) of 60 and 196 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 60 and 196?
First, calculate the GCD of 60 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 196 = 0 remainder 60 |
| 2 | 196 ÷ 60 = 3 remainder 16 |
| 3 | 60 ÷ 16 = 3 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 197 | 21473 |
| 176 and 17 | 2992 |
| 190 and 186 | 17670 |
| 16 and 184 | 368 |
| 131 and 123 | 16113 |