Least Common Multiple (LCM) of 154 and 118
The least common multiple (LCM) of 154 and 118 is 9086.
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 118?
First, calculate the GCD of 154 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 118 = 1 remainder 36 |
| 2 | 118 ÷ 36 = 3 remainder 10 |
| 3 | 36 ÷ 10 = 3 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 27 | 1107 |
| 71 and 36 | 2556 |
| 52 and 168 | 2184 |
| 117 and 38 | 4446 |
| 79 and 52 | 4108 |