Least Common Multiple (LCM) of 141 and 148
The least common multiple (LCM) of 141 and 148 is 20868.
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 141 and 148?
First, calculate the GCD of 141 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 148 = 0 remainder 141 |
| 2 | 148 ÷ 141 = 1 remainder 7 |
| 3 | 141 ÷ 7 = 20 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 137 | 26989 |
| 169 and 46 | 7774 |
| 41 and 77 | 3157 |
| 45 and 69 | 1035 |
| 155 and 91 | 14105 |