Least Common Multiple (LCM) of 22 and 120
The least common multiple (LCM) of 22 and 120 is 1320.
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 22 and 120?
First, calculate the GCD of 22 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 120 = 0 remainder 22 |
| 2 | 120 ÷ 22 = 5 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 57 | 8322 |
| 171 and 87 | 4959 |
| 11 and 117 | 1287 |
| 154 and 55 | 770 |
| 193 and 25 | 4825 |