
Least Common Multiple (LCM) of 166 and 68
The least common multiple (LCM) of 166 and 68 is 5644.
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 166 and 68?
First, calculate the GCD of 166 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 166 ÷ 68 = 2 remainder 30 |
2 | 68 ÷ 30 = 2 remainder 8 |
3 | 30 ÷ 8 = 3 remainder 6 |
4 | 8 ÷ 6 = 1 remainder 2 |
5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
81 and 186 | 5022 |
103 and 94 | 9682 |
28 and 79 | 2212 |
41 and 199 | 8159 |
164 and 91 | 14924 |