Least Common Multiple (LCM) of 67 and 73
The least common multiple (LCM) of 67 and 73 is 4891.
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 67 and 73?
First, calculate the GCD of 67 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 73 = 0 remainder 67 |
| 2 | 73 ÷ 67 = 1 remainder 6 |
| 3 | 67 ÷ 6 = 11 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 64 | 1216 |
| 72 and 102 | 1224 |
| 96 and 15 | 480 |
| 59 and 187 | 11033 |
| 68 and 73 | 4964 |