Least Common Multiple (LCM) of 56 and 119
The least common multiple (LCM) of 56 and 119 is 952.
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 56 and 119?
First, calculate the GCD of 56 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 119 = 0 remainder 56 |
| 2 | 119 ÷ 56 = 2 remainder 7 |
| 3 | 56 ÷ 7 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 83 | 11703 |
| 199 and 171 | 34029 |
| 12 and 92 | 276 |
| 179 and 48 | 8592 |
| 110 and 169 | 18590 |