Least Common Multiple (LCM) of 167 and 133
The least common multiple (LCM) of 167 and 133 is 22211.
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 133?
First, calculate the GCD of 167 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 133 = 1 remainder 34 |
| 2 | 133 ÷ 34 = 3 remainder 31 |
| 3 | 34 ÷ 31 = 1 remainder 3 |
| 4 | 31 ÷ 3 = 10 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 140 | 1540 |
| 111 and 115 | 12765 |
| 61 and 15 | 915 |
| 12 and 97 | 1164 |
| 125 and 161 | 20125 |