Least Common Multiple (LCM) of 136 and 104
The least common multiple (LCM) of 136 and 104 is 1768.
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 104?
First, calculate the GCD of 136 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 104 = 1 remainder 32 |
| 2 | 104 ÷ 32 = 3 remainder 8 |
| 3 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 165 | 12210 |
| 108 and 133 | 14364 |
| 145 and 56 | 8120 |
| 189 and 97 | 18333 |
| 169 and 196 | 33124 |