Least Common Multiple (LCM) of 102 and 136
The least common multiple (LCM) of 102 and 136 is 408.
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 102 and 136?
First, calculate the GCD of 102 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 136 = 0 remainder 102 |
| 2 | 136 ÷ 102 = 1 remainder 34 |
| 3 | 102 ÷ 34 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 163 | 1630 |
| 104 and 20 | 520 |
| 171 and 39 | 2223 |
| 14 and 84 | 84 |
| 123 and 97 | 11931 |