Least Common Multiple (LCM) of 20 and 70
The least common multiple (LCM) of 20 and 70 is 140.
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 20 and 70?
First, calculate the GCD of 20 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 70 = 0 remainder 20 |
| 2 | 70 ÷ 20 = 3 remainder 10 |
| 3 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 31 | 6200 |
| 176 and 115 | 20240 |
| 149 and 30 | 4470 |
| 103 and 169 | 17407 |
| 199 and 181 | 36019 |