Least Common Multiple (LCM) of 87 and 179
The least common multiple (LCM) of 87 and 179 is 15573.
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 87 and 179?
First, calculate the GCD of 87 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 179 = 0 remainder 87 |
| 2 | 179 ÷ 87 = 2 remainder 5 |
| 3 | 87 ÷ 5 = 17 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 60 | 420 |
| 114 and 141 | 5358 |
| 78 and 119 | 9282 |
| 47 and 200 | 9400 |
| 132 and 144 | 1584 |