
Least Common Multiple (LCM) of 161 and 64
The least common multiple (LCM) of 161 and 64 is 10304.
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 64?
First, calculate the GCD of 161 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 161 ÷ 64 = 2 remainder 33 |
2 | 64 ÷ 33 = 1 remainder 31 |
3 | 33 ÷ 31 = 1 remainder 2 |
4 | 31 ÷ 2 = 15 remainder 1 |
5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
166 and 70 | 5810 |
63 and 130 | 8190 |
48 and 192 | 192 |
114 and 81 | 3078 |
11 and 71 | 781 |