Least Common Multiple (LCM) of 167 and 119
The least common multiple (LCM) of 167 and 119 is 19873.
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 119?
First, calculate the GCD of 167 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 119 = 1 remainder 48 |
| 2 | 119 ÷ 48 = 2 remainder 23 |
| 3 | 48 ÷ 23 = 2 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 85 | 7735 |
| 72 and 42 | 504 |
| 110 and 189 | 20790 |
| 75 and 128 | 9600 |
| 64 and 53 | 3392 |