Least Common Multiple (LCM) of 132 and 61
The least common multiple (LCM) of 132 and 61 is 8052.
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 61?
First, calculate the GCD of 132 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 61 = 2 remainder 10 |
| 2 | 61 ÷ 10 = 6 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 25 | 225 |
| 143 and 143 | 143 |
| 131 and 15 | 1965 |
| 190 and 129 | 24510 |
| 57 and 133 | 399 |