Least Common Multiple (LCM) of 155 and 148
The least common multiple (LCM) of 155 and 148 is 22940.
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 155 and 148?
First, calculate the GCD of 155 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 148 = 1 remainder 7 |
| 2 | 148 ÷ 7 = 21 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 179 | 7339 |
| 92 and 42 | 1932 |
| 125 and 189 | 23625 |
| 174 and 188 | 16356 |
| 58 and 69 | 4002 |