Least Common Multiple (LCM) of 12 and 154
The least common multiple (LCM) of 12 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 12 and 154?
First, calculate the GCD of 12 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 154 = 0 remainder 12 |
| 2 | 154 ÷ 12 = 12 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 145 | 5945 |
| 180 and 44 | 1980 |
| 96 and 28 | 672 |
| 111 and 45 | 1665 |
| 45 and 145 | 1305 |