Least Common Multiple (LCM) of 132 and 153
The least common multiple (LCM) of 132 and 153 is 6732.
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 153?
First, calculate the GCD of 132 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 153 = 0 remainder 132 |
| 2 | 153 ÷ 132 = 1 remainder 21 |
| 3 | 132 ÷ 21 = 6 remainder 6 |
| 4 | 21 ÷ 6 = 3 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 131 | 6681 |
| 116 and 124 | 3596 |
| 199 and 92 | 18308 |
| 128 and 96 | 384 |
| 199 and 172 | 34228 |