Least Common Multiple (LCM) of 43 and 37
The least common multiple (LCM) of 43 and 37 is 1591.
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 37?
First, calculate the GCD of 43 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 37 = 1 remainder 6 |
| 2 | 37 ÷ 6 = 6 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 149 | 20562 |
| 126 and 93 | 3906 |
| 170 and 136 | 680 |
| 174 and 137 | 23838 |
| 170 and 65 | 2210 |