Least Common Multiple (LCM) of 40 and 79
The least common multiple (LCM) of 40 and 79 is 3160.
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 79?
First, calculate the GCD of 40 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 79 = 0 remainder 40 |
| 2 | 79 ÷ 40 = 1 remainder 39 |
| 3 | 40 ÷ 39 = 1 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 155 | 29760 |
| 117 and 120 | 4680 |
| 90 and 49 | 4410 |
| 51 and 158 | 8058 |
| 198 and 107 | 21186 |