Least Common Multiple (LCM) of 30 and 155
The least common multiple (LCM) of 30 and 155 is 930.
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 30 and 155?
First, calculate the GCD of 30 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 155 = 0 remainder 30 |
| 2 | 155 ÷ 30 = 5 remainder 5 |
| 3 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 20 | 40 |
| 140 and 65 | 1820 |
| 157 and 139 | 21823 |
| 157 and 110 | 17270 |
| 181 and 94 | 17014 |