Least Common Multiple (LCM) of 167 and 127
The least common multiple (LCM) of 167 and 127 is 21209.
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 127?
First, calculate the GCD of 167 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 127 = 1 remainder 40 |
| 2 | 127 ÷ 40 = 3 remainder 7 |
| 3 | 40 ÷ 7 = 5 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 67 | 1005 |
| 48 and 33 | 528 |
| 200 and 148 | 7400 |
| 73 and 112 | 8176 |
| 117 and 38 | 4446 |