Least Common Multiple (LCM) of 148 and 151
The least common multiple (LCM) of 148 and 151 is 22348.
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 151?
First, calculate the GCD of 148 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 151 = 0 remainder 148 |
| 2 | 151 ÷ 148 = 1 remainder 3 |
| 3 | 148 ÷ 3 = 49 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 144 | 1008 |
| 181 and 164 | 29684 |
| 128 and 155 | 19840 |
| 91 and 45 | 4095 |
| 187 and 189 | 35343 |