Least Common Multiple (LCM) of 40 and 155
The least common multiple (LCM) of 40 and 155 is 1240.
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 40 and 155?
First, calculate the GCD of 40 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 155 = 0 remainder 40 |
| 2 | 155 ÷ 40 = 3 remainder 35 |
| 3 | 40 ÷ 35 = 1 remainder 5 |
| 4 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 158 | 10902 |
| 27 and 126 | 378 |
| 155 and 199 | 30845 |
| 79 and 189 | 14931 |
| 23 and 57 | 1311 |