Least Common Multiple (LCM) of 155 and 154
The least common multiple (LCM) of 155 and 154 is 23870.
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 155 and 154?
First, calculate the GCD of 155 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 154 = 1 remainder 1 |
| 2 | 154 ÷ 1 = 154 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 165 | 9405 |
| 111 and 17 | 1887 |
| 131 and 180 | 23580 |
| 120 and 200 | 600 |
| 110 and 57 | 6270 |