Least Common Multiple (LCM) of 66 and 58
The least common multiple (LCM) of 66 and 58 is 1914.
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 66 and 58?
First, calculate the GCD of 66 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 58 = 1 remainder 8 |
| 2 | 58 ÷ 8 = 7 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 106 | 318 |
| 187 and 157 | 29359 |
| 200 and 173 | 34600 |
| 25 and 134 | 3350 |
| 143 and 124 | 17732 |