Least Common Multiple (LCM) of 136 and 58
The least common multiple (LCM) of 136 and 58 is 3944.
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 58?
First, calculate the GCD of 136 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 58 = 2 remainder 20 |
| 2 | 58 ÷ 20 = 2 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 41 | 123 |
| 60 and 43 | 2580 |
| 165 and 20 | 660 |
| 98 and 121 | 11858 |
| 65 and 12 | 780 |