Least Common Multiple (LCM) of 73 and 196
The least common multiple (LCM) of 73 and 196 is 14308.
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 73 and 196?
First, calculate the GCD of 73 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 196 = 0 remainder 73 |
| 2 | 196 ÷ 73 = 2 remainder 50 |
| 3 | 73 ÷ 50 = 1 remainder 23 |
| 4 | 50 ÷ 23 = 2 remainder 4 |
| 5 | 23 ÷ 4 = 5 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 129 | 18318 |
| 160 and 102 | 8160 |
| 124 and 187 | 23188 |
| 191 and 120 | 22920 |
| 107 and 125 | 13375 |