Least Common Multiple (LCM) of 39 and 154
The least common multiple (LCM) of 39 and 154 is 6006.
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 39 and 154?
First, calculate the GCD of 39 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 154 = 0 remainder 39 |
| 2 | 154 ÷ 39 = 3 remainder 37 |
| 3 | 39 ÷ 37 = 1 remainder 2 |
| 4 | 37 ÷ 2 = 18 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 90 | 1170 |
| 128 and 148 | 4736 |
| 105 and 71 | 7455 |
| 65 and 47 | 3055 |
| 87 and 140 | 12180 |