Least Common Multiple (LCM) of 97 and 147
The least common multiple (LCM) of 97 and 147 is 14259.
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 97 and 147?
First, calculate the GCD of 97 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 147 = 0 remainder 97 |
| 2 | 147 ÷ 97 = 1 remainder 50 |
| 3 | 97 ÷ 50 = 1 remainder 47 |
| 4 | 50 ÷ 47 = 1 remainder 3 |
| 5 | 47 ÷ 3 = 15 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 35 | 6895 |
| 200 and 59 | 11800 |
| 182 and 23 | 4186 |
| 120 and 116 | 3480 |
| 192 and 125 | 24000 |