Least Common Multiple (LCM) of 146 and 51
The least common multiple (LCM) of 146 and 51 is 7446.
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 51?
First, calculate the GCD of 146 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 51 = 2 remainder 44 |
| 2 | 51 ÷ 44 = 1 remainder 7 |
| 3 | 44 ÷ 7 = 6 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 79 | 10586 |
| 175 and 182 | 4550 |
| 149 and 140 | 20860 |
| 187 and 157 | 29359 |
| 75 and 18 | 450 |