Least Common Multiple (LCM) of 161 and 53
The least common multiple (LCM) of 161 and 53 is 8533.
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 53?
First, calculate the GCD of 161 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 53 = 3 remainder 2 |
| 2 | 53 ÷ 2 = 26 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 200 | 5400 |
| 160 and 155 | 4960 |
| 149 and 119 | 17731 |
| 44 and 23 | 1012 |
| 199 and 76 | 15124 |