Least Common Multiple (LCM) of 40 and 147
The least common multiple (LCM) of 40 and 147 is 5880.
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 40 and 147?
First, calculate the GCD of 40 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 147 = 0 remainder 40 |
| 2 | 147 ÷ 40 = 3 remainder 27 |
| 3 | 40 ÷ 27 = 1 remainder 13 |
| 4 | 27 ÷ 13 = 2 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 136 | 24616 |
| 194 and 63 | 12222 |
| 116 and 98 | 5684 |
| 150 and 119 | 17850 |
| 187 and 62 | 11594 |