Least Common Multiple (LCM) of 88 and 148
The least common multiple (LCM) of 88 and 148 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 88 and 148?
First, calculate the GCD of 88 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 148 = 0 remainder 88 |
| 2 | 148 ÷ 88 = 1 remainder 60 |
| 3 | 88 ÷ 60 = 1 remainder 28 |
| 4 | 60 ÷ 28 = 2 remainder 4 |
| 5 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 194 | 6790 |
| 188 and 123 | 23124 |
| 102 and 149 | 15198 |
| 135 and 158 | 21330 |
| 76 and 145 | 11020 |