Least Common Multiple (LCM) of 139 and 166
The least common multiple (LCM) of 139 and 166 is 23074.
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 139 and 166?
First, calculate the GCD of 139 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 166 = 0 remainder 139 |
| 2 | 166 ÷ 139 = 1 remainder 27 |
| 3 | 139 ÷ 27 = 5 remainder 4 |
| 4 | 27 ÷ 4 = 6 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 98 | 9506 |
| 119 and 159 | 18921 |
| 26 and 30 | 390 |
| 86 and 70 | 3010 |
| 70 and 72 | 2520 |