Least Common Multiple (LCM) of 155 and 145
The least common multiple (LCM) of 155 and 145 is 4495.
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 145?
First, calculate the GCD of 155 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 145 = 1 remainder 10 |
| 2 | 145 ÷ 10 = 14 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 93 | 12648 |
| 177 and 35 | 6195 |
| 103 and 149 | 15347 |
| 117 and 131 | 15327 |
| 41 and 119 | 4879 |