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 |
|---|---|
| 114 and 118 | 6726 |
| 168 and 35 | 840 |
| 104 and 61 | 6344 |
| 47 and 176 | 8272 |
| 113 and 48 | 5424 |