Least Common Multiple (LCM) of 50 and 79
The least common multiple (LCM) of 50 and 79 is 3950.
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 50 and 79?
First, calculate the GCD of 50 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 79 = 0 remainder 50 |
| 2 | 79 ÷ 50 = 1 remainder 29 |
| 3 | 50 ÷ 29 = 1 remainder 21 |
| 4 | 29 ÷ 21 = 1 remainder 8 |
| 5 | 21 ÷ 8 = 2 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 63 | 10899 |
| 115 and 174 | 20010 |
| 123 and 73 | 8979 |
| 60 and 117 | 2340 |
| 170 and 167 | 28390 |