Least Common Multiple (LCM) of 58 and 136
The least common multiple (LCM) of 58 and 136 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 58 and 136?
First, calculate the GCD of 58 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 136 = 0 remainder 58 |
| 2 | 136 ÷ 58 = 2 remainder 20 |
| 3 | 58 ÷ 20 = 2 remainder 18 |
| 4 | 20 ÷ 18 = 1 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 90 | 8730 |
| 44 and 192 | 2112 |
| 172 and 35 | 6020 |
| 106 and 149 | 15794 |
| 118 and 66 | 3894 |