Least Common Multiple (LCM) of 154 and 155
The least common multiple (LCM) of 154 and 155 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 154 and 155?
First, calculate the GCD of 154 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 155 = 0 remainder 154 |
| 2 | 155 ÷ 154 = 1 remainder 1 |
| 3 | 154 ÷ 1 = 154 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 188 | 9400 |
| 98 and 35 | 490 |
| 42 and 127 | 5334 |
| 120 and 195 | 1560 |
| 103 and 12 | 1236 |