Least Common Multiple (LCM) of 147 and 97
The least common multiple (LCM) of 147 and 97 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 147 and 97?
First, calculate the GCD of 147 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 97 = 1 remainder 50 |
| 2 | 97 ÷ 50 = 1 remainder 47 |
| 3 | 50 ÷ 47 = 1 remainder 3 |
| 4 | 47 ÷ 3 = 15 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 175 | 15050 |
| 80 and 141 | 11280 |
| 135 and 54 | 270 |
| 193 and 36 | 6948 |
| 138 and 35 | 4830 |