
Least Common Multiple (LCM) of 122 and 161
The least common multiple (LCM) of 122 and 161 is 19642.
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 122 and 161?
First, calculate the GCD of 122 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 122 ÷ 161 = 0 remainder 122 |
2 | 161 ÷ 122 = 1 remainder 39 |
3 | 122 ÷ 39 = 3 remainder 5 |
4 | 39 ÷ 5 = 7 remainder 4 |
5 | 5 ÷ 4 = 1 remainder 1 |
6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
195 and 155 | 6045 |
115 and 55 | 1265 |
174 and 116 | 348 |
36 and 155 | 5580 |
131 and 45 | 5895 |