Least Common Multiple (LCM) of 154 and 148
The least common multiple (LCM) of 154 and 148 is 11396.
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 154 and 148?
First, calculate the GCD of 154 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 148 = 1 remainder 6 |
| 2 | 148 ÷ 6 = 24 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 118 | 23010 |
| 34 and 89 | 3026 |
| 82 and 149 | 12218 |
| 15 and 129 | 645 |
| 66 and 70 | 2310 |