Least Common Multiple (LCM) of 118 and 61
The least common multiple (LCM) of 118 and 61 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 118 and 61?
First, calculate the GCD of 118 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 61 = 1 remainder 57 |
| 2 | 61 ÷ 57 = 1 remainder 4 |
| 3 | 57 ÷ 4 = 14 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 174 | 25926 |
| 130 and 10 | 130 |
| 83 and 125 | 10375 |
| 24 and 105 | 840 |
| 158 and 43 | 6794 |