Least Common Multiple (LCM) of 161 and 51
The least common multiple (LCM) of 161 and 51 is 8211.
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 51?
First, calculate the GCD of 161 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 51 = 3 remainder 8 |
| 2 | 51 ÷ 8 = 6 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 121 | 9559 |
| 137 and 154 | 21098 |
| 154 and 16 | 1232 |
| 50 and 58 | 1450 |
| 175 and 140 | 700 |