Least Common Multiple (LCM) of 87 and 122
The least common multiple (LCM) of 87 and 122 is 10614.
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 122?
First, calculate the GCD of 87 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 122 = 0 remainder 87 |
| 2 | 122 ÷ 87 = 1 remainder 35 |
| 3 | 87 ÷ 35 = 2 remainder 17 |
| 4 | 35 ÷ 17 = 2 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 151 | 17365 |
| 77 and 93 | 7161 |
| 82 and 80 | 3280 |
| 179 and 67 | 11993 |
| 171 and 175 | 29925 |