Least Common Multiple (LCM) of 167 and 80
The least common multiple (LCM) of 167 and 80 is 13360.
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 80?
First, calculate the GCD of 167 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 80 = 2 remainder 7 |
| 2 | 80 ÷ 7 = 11 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 133 | 9975 |
| 137 and 73 | 10001 |
| 17 and 131 | 2227 |
| 107 and 111 | 11877 |
| 20 and 79 | 1580 |