Least Common Multiple (LCM) of 56 and 179
The least common multiple (LCM) of 56 and 179 is 10024.
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 179?
First, calculate the GCD of 56 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 179 = 0 remainder 56 |
| 2 | 179 ÷ 56 = 3 remainder 11 |
| 3 | 56 ÷ 11 = 5 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 153 | 28764 |
| 90 and 107 | 9630 |
| 114 and 183 | 6954 |
| 77 and 142 | 10934 |
| 77 and 110 | 770 |