Least Common Multiple (LCM) of 97 and 91
The least common multiple (LCM) of 97 and 91 is 8827.
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 91?
First, calculate the GCD of 97 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 91 = 1 remainder 6 |
| 2 | 91 ÷ 6 = 15 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 45 | 2070 |
| 130 and 129 | 16770 |
| 139 and 117 | 16263 |
| 136 and 91 | 12376 |
| 197 and 65 | 12805 |