Least Common Multiple (LCM) of 123 and 119
The least common multiple (LCM) of 123 and 119 is 14637.
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 123 and 119?
First, calculate the GCD of 123 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 119 = 1 remainder 4 |
| 2 | 119 ÷ 4 = 29 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 181 | 35476 |
| 105 and 181 | 19005 |
| 154 and 138 | 10626 |
| 164 and 156 | 6396 |
| 163 and 136 | 22168 |