Least Common Multiple (LCM) of 122 and 87
The least common multiple (LCM) of 122 and 87 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 122 and 87?
First, calculate the GCD of 122 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 87 = 1 remainder 35 |
| 2 | 87 ÷ 35 = 2 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 190 | 13110 |
| 101 and 36 | 3636 |
| 145 and 162 | 23490 |
| 115 and 113 | 12995 |
| 17 and 124 | 2108 |