Least Common Multiple (LCM) of 145 and 138
The least common multiple (LCM) of 145 and 138 is 20010.
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 145 and 138?
First, calculate the GCD of 145 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 138 = 1 remainder 7 |
| 2 | 138 ÷ 7 = 19 remainder 5 |
| 3 | 7 ÷ 5 = 1 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 134 | 4020 |
| 86 and 112 | 4816 |
| 50 and 175 | 350 |
| 181 and 80 | 14480 |
| 122 and 107 | 13054 |