Least Common Multiple (LCM) of 148 and 75
The least common multiple (LCM) of 148 and 75 is 11100.
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 75?
First, calculate the GCD of 148 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 75 = 1 remainder 73 |
| 2 | 75 ÷ 73 = 1 remainder 2 |
| 3 | 73 ÷ 2 = 36 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 51 | 9843 |
| 116 and 185 | 21460 |
| 35 and 120 | 840 |
| 105 and 172 | 18060 |
| 81 and 160 | 12960 |