Least Common Multiple (LCM) of 61 and 118
The least common multiple (LCM) of 61 and 118 is 7198.
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 61 and 118?
First, calculate the GCD of 61 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 118 = 0 remainder 61 |
| 2 | 118 ÷ 61 = 1 remainder 57 |
| 3 | 61 ÷ 57 = 1 remainder 4 |
| 4 | 57 ÷ 4 = 14 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 126 | 10080 |
| 50 and 68 | 1700 |
| 200 and 99 | 19800 |
| 50 and 140 | 700 |
| 31 and 177 | 5487 |