Least Common Multiple (LCM) of 73 and 109
The least common multiple (LCM) of 73 and 109 is 7957.
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 109?
First, calculate the GCD of 73 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 109 = 0 remainder 73 |
| 2 | 109 ÷ 73 = 1 remainder 36 |
| 3 | 73 ÷ 36 = 2 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 17 | 2737 |
| 62 and 19 | 1178 |
| 175 and 157 | 27475 |
| 187 and 128 | 23936 |
| 136 and 56 | 952 |