Least Common Multiple (LCM) of 122 and 168
The least common multiple (LCM) of 122 and 168 is 10248.
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 168?
First, calculate the GCD of 122 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 168 = 0 remainder 122 |
| 2 | 168 ÷ 122 = 1 remainder 46 |
| 3 | 122 ÷ 46 = 2 remainder 30 |
| 4 | 46 ÷ 30 = 1 remainder 16 |
| 5 | 30 ÷ 16 = 1 remainder 14 |
| 6 | 16 ÷ 14 = 1 remainder 2 |
| 7 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 75 | 975 |
| 135 and 65 | 1755 |
| 111 and 131 | 14541 |
| 104 and 87 | 9048 |
| 98 and 155 | 15190 |