Least Common Multiple (LCM) of 154 and 40
The least common multiple (LCM) of 154 and 40 is 3080.
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 40?
First, calculate the GCD of 154 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 40 = 3 remainder 34 |
| 2 | 40 ÷ 34 = 1 remainder 6 |
| 3 | 34 ÷ 6 = 5 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 146 | 20294 |
| 115 and 162 | 18630 |
| 101 and 145 | 14645 |
| 153 and 101 | 15453 |
| 135 and 197 | 26595 |