Least Common Multiple (LCM) of 97 and 148
The least common multiple (LCM) of 97 and 148 is 14356.
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 148?
First, calculate the GCD of 97 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 148 = 0 remainder 97 |
| 2 | 148 ÷ 97 = 1 remainder 51 |
| 3 | 97 ÷ 51 = 1 remainder 46 |
| 4 | 51 ÷ 46 = 1 remainder 5 |
| 5 | 46 ÷ 5 = 9 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 99 | 2277 |
| 165 and 65 | 2145 |
| 133 and 53 | 7049 |
| 198 and 59 | 11682 |
| 74 and 35 | 2590 |