Least Common Multiple (LCM) of 167 and 44
The least common multiple (LCM) of 167 and 44 is 7348.
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 44?
First, calculate the GCD of 167 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 44 = 3 remainder 35 |
| 2 | 44 ÷ 35 = 1 remainder 9 |
| 3 | 35 ÷ 9 = 3 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 50 | 8450 |
| 35 and 66 | 2310 |
| 167 and 118 | 19706 |
| 72 and 42 | 504 |
| 64 and 76 | 1216 |