Least Common Multiple (LCM) of 148 and 150
The least common multiple (LCM) of 148 and 150 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 150?
First, calculate the GCD of 148 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 150 = 0 remainder 148 |
| 2 | 150 ÷ 148 = 1 remainder 2 |
| 3 | 148 ÷ 2 = 74 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 41 | 1927 |
| 26 and 174 | 2262 |
| 31 and 123 | 3813 |
| 111 and 130 | 14430 |
| 84 and 79 | 6636 |