Least Common Multiple (LCM) of 146 and 70
The least common multiple (LCM) of 146 and 70 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 70?
First, calculate the GCD of 146 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 70 = 2 remainder 6 |
| 2 | 70 ÷ 6 = 11 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 73 | 13140 |
| 73 and 76 | 5548 |
| 157 and 68 | 10676 |
| 130 and 73 | 9490 |
| 199 and 56 | 11144 |