Least Common Multiple (LCM) of 155 and 97
The least common multiple (LCM) of 155 and 97 is 15035.
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 97?
First, calculate the GCD of 155 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 97 = 1 remainder 58 |
| 2 | 97 ÷ 58 = 1 remainder 39 |
| 3 | 58 ÷ 39 = 1 remainder 19 |
| 4 | 39 ÷ 19 = 2 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 106 | 21094 |
| 163 and 48 | 7824 |
| 183 and 176 | 32208 |
| 178 and 36 | 3204 |
| 58 and 189 | 10962 |