Least Common Multiple (LCM) of 97 and 155
The least common multiple (LCM) of 97 and 155 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 97 and 155?
First, calculate the GCD of 97 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 155 = 0 remainder 97 |
| 2 | 155 ÷ 97 = 1 remainder 58 |
| 3 | 97 ÷ 58 = 1 remainder 39 |
| 4 | 58 ÷ 39 = 1 remainder 19 |
| 5 | 39 ÷ 19 = 2 remainder 1 |
| 6 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 139 | 15707 |
| 169 and 63 | 10647 |
| 67 and 67 | 67 |
| 30 and 133 | 3990 |
| 129 and 161 | 20769 |