Least Common Multiple (LCM) of 148 and 80
The least common multiple (LCM) of 148 and 80 is 2960.
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 148 and 80?
First, calculate the GCD of 148 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 80 = 1 remainder 68 |
| 2 | 80 ÷ 68 = 1 remainder 12 |
| 3 | 68 ÷ 12 = 5 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 168 | 25032 |
| 77 and 104 | 8008 |
| 126 and 44 | 2772 |
| 114 and 153 | 5814 |
| 49 and 102 | 4998 |