Least Common Multiple (LCM) of 45 and 139
The least common multiple (LCM) of 45 and 139 is 6255.
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 45 and 139?
First, calculate the GCD of 45 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 45 ÷ 139 = 0 remainder 45 |
| 2 | 139 ÷ 45 = 3 remainder 4 |
| 3 | 45 ÷ 4 = 11 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 100 | 5900 |
| 82 and 92 | 3772 |
| 14 and 164 | 1148 |
| 154 and 10 | 770 |
| 152 and 11 | 1672 |