Least Common Multiple (LCM) of 147 and 196
The least common multiple (LCM) of 147 and 196 is 588.
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 147 and 196?
First, calculate the GCD of 147 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 196 = 0 remainder 147 |
| 2 | 196 ÷ 147 = 1 remainder 49 |
| 3 | 147 ÷ 49 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 50 | 8850 |
| 113 and 200 | 22600 |
| 143 and 22 | 286 |
| 38 and 30 | 570 |
| 74 and 32 | 1184 |