Least Common Multiple (LCM) of 149 and 196
The least common multiple (LCM) of 149 and 196 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 149 and 196?
First, calculate the GCD of 149 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 196 = 0 remainder 149 |
| 2 | 196 ÷ 149 = 1 remainder 47 |
| 3 | 149 ÷ 47 = 3 remainder 8 |
| 4 | 47 ÷ 8 = 5 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 172 | 14964 |
| 42 and 168 | 168 |
| 176 and 121 | 1936 |
| 152 and 170 | 12920 |
| 10 and 57 | 570 |