Least Common Multiple (LCM) of 87 and 166
The least common multiple (LCM) of 87 and 166 is 14442.
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 166?
First, calculate the GCD of 87 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 166 = 0 remainder 87 |
| 2 | 166 ÷ 87 = 1 remainder 79 |
| 3 | 87 ÷ 79 = 1 remainder 8 |
| 4 | 79 ÷ 8 = 9 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 73 | 13140 |
| 124 and 49 | 6076 |
| 93 and 182 | 16926 |
| 105 and 150 | 1050 |
| 114 and 135 | 5130 |