Least Common Multiple (LCM) of 148 and 21
The least common multiple (LCM) of 148 and 21 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 21?
First, calculate the GCD of 148 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 21 = 7 remainder 1 |
| 2 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 52 | 2184 |
| 188 and 19 | 3572 |
| 105 and 108 | 3780 |
| 31 and 186 | 186 |
| 66 and 107 | 7062 |