Least Common Multiple (LCM) of 97 and 121
The least common multiple (LCM) of 97 and 121 is 11737.
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 121?
First, calculate the GCD of 97 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 121 = 0 remainder 97 |
| 2 | 121 ÷ 97 = 1 remainder 24 |
| 3 | 97 ÷ 24 = 4 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 139 | 10842 |
| 115 and 163 | 18745 |
| 112 and 72 | 1008 |
| 129 and 68 | 8772 |
| 111 and 197 | 21867 |