Least Common Multiple (LCM) of 146 and 35
The least common multiple (LCM) of 146 and 35 is 5110.
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 35?
First, calculate the GCD of 146 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 35 = 4 remainder 6 |
| 2 | 35 ÷ 6 = 5 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 167 | 8183 |
| 126 and 100 | 6300 |
| 123 and 183 | 7503 |
| 41 and 187 | 7667 |
| 139 and 163 | 22657 |