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 |
|---|---|
| 12 and 155 | 1860 |
| 148 and 151 | 22348 |
| 85 and 84 | 7140 |
| 168 and 94 | 7896 |
| 11 and 132 | 132 |