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 |
|---|---|
| 184 and 80 | 1840 |
| 175 and 82 | 14350 |
| 169 and 11 | 1859 |
| 126 and 164 | 10332 |
| 179 and 134 | 23986 |