Least Common Multiple (LCM) of 109 and 73
The least common multiple (LCM) of 109 and 73 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 109 and 73?
First, calculate the GCD of 109 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 73 = 1 remainder 36 |
| 2 | 73 ÷ 36 = 2 remainder 1 |
| 3 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 47 | 5311 |
| 127 and 165 | 20955 |
| 105 and 54 | 1890 |
| 23 and 69 | 69 |
| 99 and 114 | 3762 |