Least Common Multiple (LCM) of 15 and 97
The least common multiple (LCM) of 15 and 97 is 1455.
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 15 and 97?
First, calculate the GCD of 15 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 97 = 0 remainder 15 |
| 2 | 97 ÷ 15 = 6 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 25 | 3450 |
| 118 and 122 | 7198 |
| 116 and 18 | 1044 |
| 45 and 87 | 1305 |
| 46 and 10 | 230 |