Least Common Multiple (LCM) of 73 and 67
The least common multiple (LCM) of 73 and 67 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 73 and 67?
First, calculate the GCD of 73 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 67 = 1 remainder 6 |
| 2 | 67 ÷ 6 = 11 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 130 | 17290 |
| 33 and 116 | 3828 |
| 174 and 53 | 9222 |
| 119 and 123 | 14637 |
| 75 and 180 | 900 |