Least Common Multiple (LCM) of 73 and 36
The least common multiple (LCM) of 73 and 36 is 2628.
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 36?
First, calculate the GCD of 73 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 36 = 2 remainder 1 |
| 2 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 187 | 20383 |
| 108 and 185 | 19980 |
| 99 and 18 | 198 |
| 31 and 88 | 2728 |
| 180 and 52 | 2340 |