Least Common Multiple (LCM) of 148 and 161
The least common multiple (LCM) of 148 and 161 is 23828.
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 161?
First, calculate the GCD of 148 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 161 = 0 remainder 148 |
| 2 | 161 ÷ 148 = 1 remainder 13 |
| 3 | 148 ÷ 13 = 11 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 107 | 11128 |
| 100 and 56 | 1400 |
| 146 and 132 | 9636 |
| 121 and 198 | 2178 |
| 56 and 31 | 1736 |