Least Common Multiple (LCM) of 136 and 97
The least common multiple (LCM) of 136 and 97 is 13192.
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 136 and 97?
First, calculate the GCD of 136 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 97 = 1 remainder 39 |
| 2 | 97 ÷ 39 = 2 remainder 19 |
| 3 | 39 ÷ 19 = 2 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 100 | 900 |
| 90 and 146 | 6570 |
| 137 and 117 | 16029 |
| 82 and 124 | 5084 |
| 76 and 29 | 2204 |