Least Common Multiple (LCM) of 132 and 87
The least common multiple (LCM) of 132 and 87 is 3828.
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 87?
First, calculate the GCD of 132 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 87 = 1 remainder 45 |
| 2 | 87 ÷ 45 = 1 remainder 42 |
| 3 | 45 ÷ 42 = 1 remainder 3 |
| 4 | 42 ÷ 3 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 186 | 12462 |
| 178 and 74 | 6586 |
| 149 and 82 | 12218 |
| 157 and 22 | 3454 |
| 71 and 184 | 13064 |