Least Common Multiple (LCM) of 148 and 88
The least common multiple (LCM) of 148 and 88 is 3256.
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 88?
First, calculate the GCD of 148 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 88 = 1 remainder 60 |
| 2 | 88 ÷ 60 = 1 remainder 28 |
| 3 | 60 ÷ 28 = 2 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 24 | 456 |
| 71 and 70 | 4970 |
| 153 and 136 | 1224 |
| 109 and 94 | 10246 |
| 138 and 158 | 10902 |