Least Common Multiple (LCM) of 93 and 148
The least common multiple (LCM) of 93 and 148 is 13764.
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 93 and 148?
First, calculate the GCD of 93 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 148 = 0 remainder 93 |
| 2 | 148 ÷ 93 = 1 remainder 55 |
| 3 | 93 ÷ 55 = 1 remainder 38 |
| 4 | 55 ÷ 38 = 1 remainder 17 |
| 5 | 38 ÷ 17 = 2 remainder 4 |
| 6 | 17 ÷ 4 = 4 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 120 | 4920 |
| 47 and 23 | 1081 |
| 180 and 69 | 4140 |
| 54 and 84 | 756 |
| 144 and 146 | 10512 |