Least Common Multiple (LCM) of 166 and 79
The least common multiple (LCM) of 166 and 79 is 13114.
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 166 and 79?
First, calculate the GCD of 166 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 79 = 2 remainder 8 |
| 2 | 79 ÷ 8 = 9 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 111 | 12099 |
| 113 and 190 | 21470 |
| 31 and 135 | 4185 |
| 200 and 106 | 10600 |
| 10 and 135 | 270 |