
Least Common Multiple (LCM) of 40 and 166
The least common multiple (LCM) of 40 and 166 is 3320.
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 40 and 166?
First, calculate the GCD of 40 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 40 ÷ 166 = 0 remainder 40 |
2 | 166 ÷ 40 = 4 remainder 6 |
3 | 40 ÷ 6 = 6 remainder 4 |
4 | 6 ÷ 4 = 1 remainder 2 |
5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
147 and 105 | 735 |
40 and 27 | 1080 |
80 and 30 | 240 |
127 and 24 | 3048 |
106 and 144 | 7632 |