Least Common Multiple (LCM) of 151 and 43
The least common multiple (LCM) of 151 and 43 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 151 and 43?
First, calculate the GCD of 151 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 43 = 3 remainder 22 |
| 2 | 43 ÷ 22 = 1 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 105 | 2310 |
| 119 and 199 | 23681 |
| 17 and 20 | 340 |
| 192 and 43 | 8256 |
| 97 and 196 | 19012 |