Least Common Multiple (LCM) of 66 and 139
The least common multiple (LCM) of 66 and 139 is 9174.
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 139?
First, calculate the GCD of 66 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 139 = 0 remainder 66 |
| 2 | 139 ÷ 66 = 2 remainder 7 |
| 3 | 66 ÷ 7 = 9 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 163 | 17115 |
| 29 and 185 | 5365 |
| 24 and 22 | 264 |
| 169 and 87 | 14703 |
| 106 and 157 | 16642 |