Least Common Multiple (LCM) of 154 and 132
The least common multiple (LCM) of 154 and 132 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 154 and 132?
First, calculate the GCD of 154 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 132 = 1 remainder 22 |
| 2 | 132 ÷ 22 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 15 | 165 |
| 195 and 154 | 30030 |
| 108 and 130 | 7020 |
| 74 and 97 | 7178 |
| 169 and 40 | 6760 |