Least Common Multiple (LCM) of 148 and 158
The least common multiple (LCM) of 148 and 158 is 11692.
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 158?
First, calculate the GCD of 148 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 158 = 0 remainder 148 |
| 2 | 158 ÷ 148 = 1 remainder 10 |
| 3 | 148 ÷ 10 = 14 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 200 | 2200 |
| 186 and 65 | 12090 |
| 110 and 136 | 7480 |
| 116 and 193 | 22388 |
| 127 and 51 | 6477 |