Least Common Multiple (LCM) of 132 and 71
The least common multiple (LCM) of 132 and 71 is 9372.
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 71?
First, calculate the GCD of 132 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 71 = 1 remainder 61 |
| 2 | 71 ÷ 61 = 1 remainder 10 |
| 3 | 61 ÷ 10 = 6 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 140 | 5460 |
| 176 and 61 | 10736 |
| 16 and 115 | 1840 |
| 15 and 123 | 615 |
| 170 and 180 | 3060 |