Least Common Multiple (LCM) of 39 and 161
The least common multiple (LCM) of 39 and 161 is 6279.
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 161?
First, calculate the GCD of 39 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 161 = 0 remainder 39 |
| 2 | 161 ÷ 39 = 4 remainder 5 |
| 3 | 39 ÷ 5 = 7 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 73 | 13140 |
| 70 and 56 | 280 |
| 36 and 109 | 3924 |
| 32 and 85 | 2720 |
| 160 and 96 | 480 |