Least Common Multiple (LCM) of 161 and 141
The least common multiple (LCM) of 161 and 141 is 22701.
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 141?
First, calculate the GCD of 161 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 141 = 1 remainder 20 |
| 2 | 141 ÷ 20 = 7 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 92 | 16468 |
| 138 and 153 | 7038 |
| 154 and 137 | 21098 |
| 60 and 32 | 480 |
| 110 and 101 | 11110 |