Least Common Multiple (LCM) of 39 and 151
The least common multiple (LCM) of 39 and 151 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 39 and 151?
First, calculate the GCD of 39 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 151 = 0 remainder 39 |
| 2 | 151 ÷ 39 = 3 remainder 34 |
| 3 | 39 ÷ 34 = 1 remainder 5 |
| 4 | 34 ÷ 5 = 6 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 40 | 760 |
| 118 and 121 | 14278 |
| 100 and 91 | 9100 |
| 152 and 117 | 17784 |
| 41 and 163 | 6683 |