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 |
|---|---|
| 180 and 60 | 180 |
| 136 and 52 | 1768 |
| 44 and 169 | 7436 |
| 131 and 127 | 16637 |
| 104 and 148 | 3848 |