Least Common Multiple (LCM) of 161 and 147
The least common multiple (LCM) of 161 and 147 is 3381.
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 161 and 147?
First, calculate the GCD of 161 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 147 = 1 remainder 14 |
| 2 | 147 ÷ 14 = 10 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 53 | 6890 |
| 118 and 95 | 11210 |
| 171 and 180 | 3420 |
| 105 and 137 | 14385 |
| 38 and 29 | 1102 |