Least Common Multiple (LCM) of 70 and 146
The least common multiple (LCM) of 70 and 146 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 70 and 146?
First, calculate the GCD of 70 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 146 = 0 remainder 70 |
| 2 | 146 ÷ 70 = 2 remainder 6 |
| 3 | 70 ÷ 6 = 11 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 182 | 5278 |
| 70 and 116 | 4060 |
| 15 and 105 | 105 |
| 65 and 130 | 130 |
| 164 and 48 | 1968 |