Least Common Multiple (LCM) of 132 and 106
The least common multiple (LCM) of 132 and 106 is 6996.
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 132 and 106?
First, calculate the GCD of 132 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 106 = 1 remainder 26 |
| 2 | 106 ÷ 26 = 4 remainder 2 |
| 3 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 60 | 1740 |
| 182 and 159 | 28938 |
| 112 and 73 | 8176 |
| 123 and 65 | 7995 |
| 172 and 41 | 7052 |