Least Common Multiple (LCM) of 59 and 118
The least common multiple (LCM) of 59 and 118 is 118.
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 59 and 118?
First, calculate the GCD of 59 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 118 = 0 remainder 59 |
| 2 | 118 ÷ 59 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 79 | 8453 |
| 38 and 70 | 1330 |
| 188 and 28 | 1316 |
| 124 and 17 | 2108 |
| 26 and 178 | 2314 |