Least Common Multiple (LCM) of 148 and 97
The least common multiple (LCM) of 148 and 97 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 148 and 97?
First, calculate the GCD of 148 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 97 = 1 remainder 51 |
| 2 | 97 ÷ 51 = 1 remainder 46 |
| 3 | 51 ÷ 46 = 1 remainder 5 |
| 4 | 46 ÷ 5 = 9 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 151 | 24462 |
| 112 and 151 | 16912 |
| 83 and 77 | 6391 |
| 30 and 145 | 870 |
| 106 and 188 | 9964 |