Least Common Multiple (LCM) of 73 and 91
The least common multiple (LCM) of 73 and 91 is 6643.
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 91?
First, calculate the GCD of 73 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 91 = 0 remainder 73 |
| 2 | 91 ÷ 73 = 1 remainder 18 |
| 3 | 73 ÷ 18 = 4 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 112 | 15344 |
| 193 and 85 | 16405 |
| 32 and 70 | 1120 |
| 37 and 41 | 1517 |
| 32 and 45 | 1440 |