Least Common Multiple (LCM) of 147 and 161
The least common multiple (LCM) of 147 and 161 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 147 and 161?
First, calculate the GCD of 147 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 161 = 0 remainder 147 |
| 2 | 161 ÷ 147 = 1 remainder 14 |
| 3 | 147 ÷ 14 = 10 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 20 | 720 |
| 74 and 171 | 12654 |
| 134 and 112 | 7504 |
| 28 and 15 | 420 |
| 20 and 176 | 880 |