Least Common Multiple (LCM) of 43 and 151
The least common multiple (LCM) of 43 and 151 is 6493.
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 43 and 151?
First, calculate the GCD of 43 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 151 = 0 remainder 43 |
| 2 | 151 ÷ 43 = 3 remainder 22 |
| 3 | 43 ÷ 22 = 1 remainder 21 |
| 4 | 22 ÷ 21 = 1 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 107 | 16050 |
| 142 and 152 | 10792 |
| 132 and 89 | 11748 |
| 103 and 134 | 13802 |
| 45 and 189 | 945 |