Least Common Multiple (LCM) of 150 and 115
The least common multiple (LCM) of 150 and 115 is 3450.
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 150 and 115?
First, calculate the GCD of 150 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 115 = 1 remainder 35 |
| 2 | 115 ÷ 35 = 3 remainder 10 |
| 3 | 35 ÷ 10 = 3 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 198 | 2574 |
| 106 and 192 | 10176 |
| 170 and 108 | 9180 |
| 151 and 116 | 17516 |
| 179 and 24 | 4296 |