Least Common Multiple (LCM) of 148 and 77
The least common multiple (LCM) of 148 and 77 is 11396.
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 77?
First, calculate the GCD of 148 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 77 = 1 remainder 71 |
| 2 | 77 ÷ 71 = 1 remainder 6 |
| 3 | 71 ÷ 6 = 11 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 183 | 34953 |
| 170 and 188 | 15980 |
| 144 and 29 | 4176 |
| 57 and 90 | 1710 |
| 130 and 156 | 780 |