Least Common Multiple (LCM) of 155 and 58
The least common multiple (LCM) of 155 and 58 is 8990.
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 155 and 58?
First, calculate the GCD of 155 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 58 = 2 remainder 39 |
| 2 | 58 ÷ 39 = 1 remainder 19 |
| 3 | 39 ÷ 19 = 2 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 125 | 13625 |
| 35 and 100 | 700 |
| 66 and 197 | 13002 |
| 49 and 112 | 784 |
| 129 and 20 | 2580 |