Least Common Multiple (LCM) of 118 and 119
The least common multiple (LCM) of 118 and 119 is 14042.
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 119?
First, calculate the GCD of 118 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 119 = 0 remainder 118 |
| 2 | 119 ÷ 118 = 1 remainder 1 |
| 3 | 118 ÷ 1 = 118 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 84 | 1008 |
| 144 and 143 | 20592 |
| 108 and 79 | 8532 |
| 156 and 193 | 30108 |
| 157 and 153 | 24021 |