Least Common Multiple (LCM) of 12 and 146
The least common multiple (LCM) of 12 and 146 is 876.
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 12 and 146?
First, calculate the GCD of 12 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 146 = 0 remainder 12 |
| 2 | 146 ÷ 12 = 12 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 105 | 840 |
| 62 and 109 | 6758 |
| 112 and 35 | 560 |
| 28 and 80 | 560 |
| 106 and 139 | 14734 |