Least Common Multiple (LCM) of 40 and 151
The least common multiple (LCM) of 40 and 151 is 6040.
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 40 and 151?
First, calculate the GCD of 40 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 151 = 0 remainder 40 |
| 2 | 151 ÷ 40 = 3 remainder 31 |
| 3 | 40 ÷ 31 = 1 remainder 9 |
| 4 | 31 ÷ 9 = 3 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 49 | 9016 |
| 181 and 135 | 24435 |
| 53 and 118 | 6254 |
| 182 and 127 | 23114 |
| 109 and 30 | 3270 |