Least Common Multiple (LCM) of 148 and 84
The least common multiple (LCM) of 148 and 84 is 3108.
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 84?
First, calculate the GCD of 148 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 84 = 1 remainder 64 |
| 2 | 84 ÷ 64 = 1 remainder 20 |
| 3 | 64 ÷ 20 = 3 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 118 | 14042 |
| 90 and 171 | 1710 |
| 61 and 180 | 10980 |
| 43 and 78 | 3354 |
| 174 and 49 | 8526 |