Least Common Multiple (LCM) of 120 and 122
The least common multiple (LCM) of 120 and 122 is 7320.
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 120 and 122?
First, calculate the GCD of 120 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 122 = 0 remainder 120 |
| 2 | 122 ÷ 120 = 1 remainder 2 |
| 3 | 120 ÷ 2 = 60 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 70 | 6160 |
| 23 and 59 | 1357 |
| 125 and 31 | 3875 |
| 133 and 61 | 8113 |
| 134 and 158 | 10586 |