Least Common Multiple (LCM) of 147 and 40
The least common multiple (LCM) of 147 and 40 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 147 and 40?
First, calculate the GCD of 147 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 40 = 3 remainder 27 |
| 2 | 40 ÷ 27 = 1 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 182 | 28574 |
| 77 and 178 | 13706 |
| 87 and 98 | 8526 |
| 156 and 148 | 5772 |
| 17 and 102 | 102 |