Least Common Multiple (LCM) of 150 and 61
The least common multiple (LCM) of 150 and 61 is 9150.
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 61?
First, calculate the GCD of 150 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 61 = 2 remainder 28 |
| 2 | 61 ÷ 28 = 2 remainder 5 |
| 3 | 28 ÷ 5 = 5 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 180 | 2340 |
| 156 and 98 | 7644 |
| 133 and 84 | 1596 |
| 10 and 42 | 210 |
| 31 and 34 | 1054 |