Least Common Multiple (LCM) of 118 and 15
The least common multiple (LCM) of 118 and 15 is 1770.
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 15?
First, calculate the GCD of 118 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 15 = 7 remainder 13 |
| 2 | 15 ÷ 13 = 1 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 159 | 1908 |
| 157 and 189 | 29673 |
| 117 and 123 | 4797 |
| 186 and 59 | 10974 |
| 195 and 162 | 10530 |