Least Common Multiple (LCM) of 136 and 130
The least common multiple (LCM) of 136 and 130 is 8840.
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 130?
First, calculate the GCD of 136 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 130 = 1 remainder 6 |
| 2 | 130 ÷ 6 = 21 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 83 | 6723 |
| 197 and 93 | 18321 |
| 40 and 175 | 1400 |
| 119 and 188 | 22372 |
| 154 and 44 | 308 |