Least Common Multiple (LCM) of 146 and 138
The least common multiple (LCM) of 146 and 138 is 10074.
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 146 and 138?
First, calculate the GCD of 146 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 138 = 1 remainder 8 |
| 2 | 138 ÷ 8 = 17 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 139 | 20850 |
| 107 and 38 | 4066 |
| 193 and 15 | 2895 |
| 84 and 130 | 5460 |
| 67 and 101 | 6767 |