Least Common Multiple (LCM) of 167 and 79
The least common multiple (LCM) of 167 and 79 is 13193.
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 167 and 79?
First, calculate the GCD of 167 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 79 = 2 remainder 9 |
| 2 | 79 ÷ 9 = 8 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 194 | 17266 |
| 195 and 150 | 1950 |
| 140 and 70 | 140 |
| 108 and 122 | 6588 |
| 110 and 157 | 17270 |