Least Common Multiple (LCM) of 118 and 87
The least common multiple (LCM) of 118 and 87 is 10266.
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 118 and 87?
First, calculate the GCD of 118 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 87 = 1 remainder 31 |
| 2 | 87 ÷ 31 = 2 remainder 25 |
| 3 | 31 ÷ 25 = 1 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 29 | 2958 |
| 135 and 126 | 1890 |
| 109 and 44 | 4796 |
| 76 and 19 | 76 |
| 157 and 110 | 17270 |