Least Common Multiple (LCM) of 151 and 39
The least common multiple (LCM) of 151 and 39 is 5889.
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 39?
First, calculate the GCD of 151 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 39 = 3 remainder 34 |
| 2 | 39 ÷ 34 = 1 remainder 5 |
| 3 | 34 ÷ 5 = 6 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 193 | 25476 |
| 28 and 154 | 308 |
| 84 and 40 | 840 |
| 41 and 189 | 7749 |
| 163 and 92 | 14996 |