Least Common Multiple (LCM) of 132 and 154
The least common multiple (LCM) of 132 and 154 is 924.
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 154?
First, calculate the GCD of 132 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 154 = 0 remainder 132 |
| 2 | 154 ÷ 132 = 1 remainder 22 |
| 3 | 132 ÷ 22 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 21 | 105 |
| 140 and 153 | 21420 |
| 78 and 166 | 6474 |
| 99 and 90 | 990 |
| 50 and 200 | 200 |