Least Common Multiple (LCM) of 119 and 134
The least common multiple (LCM) of 119 and 134 is 15946.
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 119 and 134?
First, calculate the GCD of 119 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 134 = 0 remainder 119 |
| 2 | 134 ÷ 119 = 1 remainder 15 |
| 3 | 119 ÷ 15 = 7 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 76 | 7980 |
| 140 and 127 | 17780 |
| 189 and 156 | 9828 |
| 175 and 184 | 32200 |
| 196 and 50 | 4900 |