Least Common Multiple (LCM) of 154 and 145
The least common multiple (LCM) of 154 and 145 is 22330.
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 145?
First, calculate the GCD of 154 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 145 = 1 remainder 9 |
| 2 | 145 ÷ 9 = 16 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 194 | 17460 |
| 69 and 14 | 966 |
| 138 and 146 | 10074 |
| 42 and 168 | 168 |
| 160 and 147 | 23520 |