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 |
|---|---|
| 96 and 147 | 4704 |
| 168 and 58 | 4872 |
| 191 and 114 | 21774 |
| 145 and 101 | 14645 |
| 13 and 78 | 78 |