Least Common Multiple (LCM) of 48 and 154
The least common multiple (LCM) of 48 and 154 is 3696.
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 48 and 154?
First, calculate the GCD of 48 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 154 = 0 remainder 48 |
| 2 | 154 ÷ 48 = 3 remainder 10 |
| 3 | 48 ÷ 10 = 4 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 20 | 380 |
| 163 and 89 | 14507 |
| 98 and 148 | 7252 |
| 109 and 186 | 20274 |
| 123 and 145 | 17835 |