Least Common Multiple (LCM) of 154 and 120
The least common multiple (LCM) of 154 and 120 is 9240.
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 120?
First, calculate the GCD of 154 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 120 = 1 remainder 34 |
| 2 | 120 ÷ 34 = 3 remainder 18 |
| 3 | 34 ÷ 18 = 1 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 138 | 5382 |
| 135 and 154 | 20790 |
| 64 and 125 | 8000 |
| 25 and 155 | 775 |
| 104 and 100 | 2600 |