Least Common Multiple (LCM) of 145 and 70
The least common multiple (LCM) of 145 and 70 is 2030.
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 145 and 70?
First, calculate the GCD of 145 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 70 = 2 remainder 5 |
| 2 | 70 ÷ 5 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 158 | 8690 |
| 13 and 59 | 767 |
| 107 and 116 | 12412 |
| 173 and 109 | 18857 |
| 103 and 162 | 16686 |