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 |
|---|---|
| 118 and 67 | 7906 |
| 29 and 114 | 3306 |
| 91 and 74 | 6734 |
| 157 and 64 | 10048 |
| 122 and 190 | 11590 |