Least Common Multiple (LCM) of 118 and 109
The least common multiple (LCM) of 118 and 109 is 12862.
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 109?
First, calculate the GCD of 118 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 109 = 1 remainder 9 |
| 2 | 109 ÷ 9 = 12 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 35 | 5670 |
| 124 and 194 | 12028 |
| 121 and 197 | 23837 |
| 57 and 118 | 6726 |
| 126 and 75 | 3150 |