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 |
|---|---|
| 140 and 110 | 1540 |
| 145 and 154 | 22330 |
| 134 and 70 | 4690 |
| 12 and 173 | 2076 |
| 134 and 116 | 7772 |