Least Common Multiple (LCM) of 196 and 147
The least common multiple (LCM) of 196 and 147 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 196 and 147?
First, calculate the GCD of 196 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 147 = 1 remainder 49 |
| 2 | 147 ÷ 49 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 64 | 4288 |
| 37 and 139 | 5143 |
| 95 and 143 | 13585 |
| 90 and 32 | 1440 |
| 140 and 136 | 4760 |