Least Common Multiple (LCM) of 63 and 161
The least common multiple (LCM) of 63 and 161 is 1449.
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 63 and 161?
First, calculate the GCD of 63 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 161 = 0 remainder 63 |
| 2 | 161 ÷ 63 = 2 remainder 35 |
| 3 | 63 ÷ 35 = 1 remainder 28 |
| 4 | 35 ÷ 28 = 1 remainder 7 |
| 5 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 83 | 13197 |
| 47 and 145 | 6815 |
| 76 and 126 | 4788 |
| 63 and 23 | 1449 |
| 110 and 160 | 1760 |