Least Common Multiple (LCM) of 58 and 188
The least common multiple (LCM) of 58 and 188 is 5452.
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 188?
First, calculate the GCD of 58 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 188 = 0 remainder 58 |
| 2 | 188 ÷ 58 = 3 remainder 14 |
| 3 | 58 ÷ 14 = 4 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 25 | 4100 |
| 161 and 127 | 20447 |
| 24 and 140 | 840 |
| 79 and 185 | 14615 |
| 165 and 14 | 2310 |