Least Common Multiple (LCM) of 96 and 148
The least common multiple (LCM) of 96 and 148 is 3552.
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 96 and 148?
First, calculate the GCD of 96 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 148 = 0 remainder 96 |
| 2 | 148 ÷ 96 = 1 remainder 52 |
| 3 | 96 ÷ 52 = 1 remainder 44 |
| 4 | 52 ÷ 44 = 1 remainder 8 |
| 5 | 44 ÷ 8 = 5 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 27 | 270 |
| 31 and 184 | 5704 |
| 139 and 156 | 21684 |
| 74 and 30 | 1110 |
| 137 and 109 | 14933 |