Least Common Multiple (LCM) of 120 and 148
The least common multiple (LCM) of 120 and 148 is 4440.
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 148?
First, calculate the GCD of 120 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 148 = 0 remainder 120 |
| 2 | 148 ÷ 120 = 1 remainder 28 |
| 3 | 120 ÷ 28 = 4 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 84 | 1092 |
| 83 and 22 | 1826 |
| 62 and 165 | 10230 |
| 77 and 172 | 13244 |
| 75 and 19 | 1425 |