Least Common Multiple (LCM) of 196 and 149
The least common multiple (LCM) of 196 and 149 is 29204.
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 149?
First, calculate the GCD of 196 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 149 = 1 remainder 47 |
| 2 | 149 ÷ 47 = 3 remainder 8 |
| 3 | 47 ÷ 8 = 5 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 73 | 14381 |
| 61 and 179 | 10919 |
| 136 and 199 | 27064 |
| 41 and 56 | 2296 |
| 72 and 89 | 6408 |