Least Common Multiple (LCM) of 118 and 141
The least common multiple (LCM) of 118 and 141 is 16638.
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 141?
First, calculate the GCD of 118 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 141 = 0 remainder 118 |
| 2 | 141 ÷ 118 = 1 remainder 23 |
| 3 | 118 ÷ 23 = 5 remainder 3 |
| 4 | 23 ÷ 3 = 7 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 169 | 169 |
| 138 and 110 | 7590 |
| 110 and 197 | 21670 |
| 104 and 182 | 728 |
| 107 and 128 | 13696 |