Least Common Multiple (LCM) of 42 and 136
The least common multiple (LCM) of 42 and 136 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 42 and 136?
First, calculate the GCD of 42 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 136 = 0 remainder 42 |
| 2 | 136 ÷ 42 = 3 remainder 10 |
| 3 | 42 ÷ 10 = 4 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 64 | 2752 |
| 177 and 103 | 18231 |
| 165 and 30 | 330 |
| 161 and 173 | 27853 |
| 170 and 190 | 3230 |