Least Common Multiple (LCM) of 104 and 136
The least common multiple (LCM) of 104 and 136 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 104 and 136?
First, calculate the GCD of 104 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 136 = 0 remainder 104 |
| 2 | 136 ÷ 104 = 1 remainder 32 |
| 3 | 104 ÷ 32 = 3 remainder 8 |
| 4 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 77 | 7392 |
| 91 and 70 | 910 |
| 72 and 114 | 1368 |
| 70 and 138 | 4830 |
| 99 and 143 | 1287 |