Least Common Multiple (LCM) of 148 and 78
The least common multiple (LCM) of 148 and 78 is 5772.
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 78?
First, calculate the GCD of 148 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 78 = 1 remainder 70 |
| 2 | 78 ÷ 70 = 1 remainder 8 |
| 3 | 70 ÷ 8 = 8 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 33 | 6369 |
| 93 and 175 | 16275 |
| 127 and 79 | 10033 |
| 102 and 151 | 15402 |
| 170 and 68 | 340 |