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 |
|---|---|
| 169 and 19 | 3211 |
| 137 and 39 | 5343 |
| 113 and 56 | 6328 |
| 183 and 156 | 9516 |
| 178 and 162 | 14418 |