Least Common Multiple (LCM) of 155 and 39
The least common multiple (LCM) of 155 and 39 is 6045.
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 155 and 39?
First, calculate the GCD of 155 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 39 = 3 remainder 38 |
| 2 | 39 ÷ 38 = 1 remainder 1 |
| 3 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 14 | 1050 |
| 200 and 176 | 4400 |
| 122 and 87 | 10614 |
| 39 and 80 | 3120 |
| 175 and 26 | 4550 |