Least Common Multiple (LCM) of 109 and 87
The least common multiple (LCM) of 109 and 87 is 9483.
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 87?
First, calculate the GCD of 109 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 87 = 1 remainder 22 |
| 2 | 87 ÷ 22 = 3 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 45 | 6030 |
| 59 and 103 | 6077 |
| 36 and 25 | 900 |
| 56 and 49 | 392 |
| 123 and 174 | 7134 |