Least Common Multiple (LCM) of 116 and 97
The least common multiple (LCM) of 116 and 97 is 11252.
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 116 and 97?
First, calculate the GCD of 116 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 97 = 1 remainder 19 |
| 2 | 97 ÷ 19 = 5 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 118 | 19706 |
| 107 and 188 | 20116 |
| 137 and 129 | 17673 |
| 142 and 120 | 8520 |
| 155 and 128 | 19840 |