Least Common Multiple (LCM) of 119 and 57
The least common multiple (LCM) of 119 and 57 is 6783.
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 57?
First, calculate the GCD of 119 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 57 = 2 remainder 5 |
| 2 | 57 ÷ 5 = 11 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 128 | 2176 |
| 66 and 180 | 1980 |
| 120 and 79 | 9480 |
| 47 and 68 | 3196 |
| 24 and 131 | 3144 |