
Least Common Multiple (LCM) of 115 and 161
The least common multiple (LCM) of 115 and 161 is 805.
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 115 and 161?
First, calculate the GCD of 115 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 115 ÷ 161 = 0 remainder 115 |
2 | 161 ÷ 115 = 1 remainder 46 |
3 | 115 ÷ 46 = 2 remainder 23 |
4 | 46 ÷ 23 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
73 and 25 | 1825 |
174 and 54 | 1566 |
175 and 145 | 5075 |
59 and 178 | 10502 |
93 and 124 | 372 |