Least Common Multiple (LCM) of 136 and 42
The least common multiple (LCM) of 136 and 42 is 2856.
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 42?
First, calculate the GCD of 136 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 42 = 3 remainder 10 |
| 2 | 42 ÷ 10 = 4 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 136 | 15368 |
| 54 and 136 | 3672 |
| 82 and 154 | 6314 |
| 18 and 36 | 36 |
| 192 and 58 | 5568 |