Least Common Multiple (LCM) of 150 and 40
The least common multiple (LCM) of 150 and 40 is 600.
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 40?
First, calculate the GCD of 150 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 40 = 3 remainder 30 |
| 2 | 40 ÷ 30 = 1 remainder 10 |
| 3 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 66 | 462 |
| 193 and 129 | 24897 |
| 40 and 164 | 1640 |
| 138 and 86 | 5934 |
| 178 and 191 | 33998 |