Least Common Multiple (LCM) of 118 and 20
The least common multiple (LCM) of 118 and 20 is 1180.
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 20?
First, calculate the GCD of 118 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 20 = 5 remainder 18 |
| 2 | 20 ÷ 18 = 1 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 196 | 25676 |
| 186 and 155 | 930 |
| 74 and 90 | 3330 |
| 170 and 168 | 14280 |
| 33 and 176 | 528 |